This is the real stuff. Superb pieces by excellent composers that you will not feel ashamed to play even though they are relatively easy (and some sound very difficult but are actually dead easy):
Baroque.
Scarlatti:
Sonata k32 – Just one page long, beautiful and lyrical. More suited to an adult player though, on account of the depth of interpretation it requires. Technically ridiculous.
J. S. Bach:
Here are my favourites from the Little notebook of Anna Magdalena Bach (most of the pieces are not by Bach himself. He just collected them. So the very famous minuet in G is actually by Christian Petzold).
Minuet in G BWV Anh.114 (C. Petzold)
Minuet in Gm BWV Anh, 115 (C. Petzold) – Beautiful lyrical minuet, reflective and slow. This minuet is meant to be played with the previous one in ABA form (minuet in G – minuet in Gm – minuet in G). For beginners omit the ornamentation. For more advanced players there is a lot of scope for learning the art of ornamentation with these two pieces.
Minuet in G BWV Anh. II 116 (anon.) – Excellent piece to introduce canon (round) writing. It is a perfect introduction to 2 voice inventions which are far too difficult for a beginner.
Minuet in Am BWV Anh. II 120 (anon.) – Another excellent 2 voice canonic work, that will develop hand independence and yet is easy enough for a beginner.
Minuet in Cm BWV Anh. II 121 (Anon.) – Hauntingly beautiful slow minuet.
March in D H. 1.1 (C. P. E. Bach) – Uplifting and full of joy.
Menuet in G (G. Bohm) – Another good introduction to counterpoint that is simple enough for any beginner.
Musette in D BWV Anh. II 126(anon.) – Excellent piece for the virtuoso to be (very easy but impressive), with daring skips on the LH and fast runs on the RH. A favourite with kids.
March in Eb (anon.) BWV Anh. II 127 (anon.) – Another excellent preparation for 2-voice inventions.
Menuet in Dm BWV Anh. II 132 (anon.) – Another very beautiful reflective minuet, which will develop hand independence.
Aria in F (J. C. Bach) – Only 16 bars long, this beautiful aria can be easily learned by a beginner and then be used at a later stage to teach improvised ornamentation.
Prelude in C BWV 846/I (J. S. Bach) – One of the few pieces in the notebook that is actually by Bach, this prelude is the first prelude in the WTC book I.
For beginners omit the ornamentation. For more advanced players there is a lot of scope for learning the art of ornamentation with these two pieces.
In my opinion the best edition for these pieces (lots of ancillary information and performance suggestions) is the ABRSM (edited by Richard Jones). Rosalyn Tureck recorded all these pieces for Sony (“Bach: The Keyboard Album”) and she discusses them in depth in her seminal book “An Introduction to the performance of Bach” (Oxford University Press) – The CD was recorded as illustration to the book.
Little preludes.
Most of these are too difficult for beginners, being more appropriate for the intermediate student who is starting with the two voice inventions. However some of them can be tackled successfully by a late beginner (6 months – 1 year of lessons):
Prelude in C BWV 924 – A beautiful prelude based on broken triads, this is very easy (but not as effective) if you omit the several ornaments. These can beaded later on when the student has progressed enough.
Prelude in C BWV 939 – An excellent study in arpeggios for both RH and LH and a great introduction to question and answer writing. Only 16 bars long (probably not by J. S. Bach)
Prelude in Gm BWV 999 – For the budding virtuoso. Very effective at a fast speed, but equally beautiful at a much slower tempo. The repetitive figuration in broken triads make it an excellent exercise as well.
French suites:
A few movements of the French suites can be tackled by a late beginner (6 months - one year of lessons):
Minuet, from French Suite, No 6 in E – A short minuet very easy (if you omit the ornaments) mostly built on scales and thirds. Both hands get to do the work, so very good for hand independence an finger co-ordination.
Minuet, from French Suite, No 3 in Bm – Arpeggio figurations on the RH and skips n the LH. Then the hands reverse roles. Excellent for finger co-ordination, accuracy and hand independence.
Gavotte from French suite no. 5 in G – A charming and exhilarating piece with scale runs and fifths on the other hand. Both hands play both figurations alternately. Excellent for hand independence.
All of these pieces require iron-clad fingering or they will fall apart. So good for students to realise that using the correct fingering is as important as hitting the right notes at the right time.
Classical.
(There is a number of short pieces by both Mozart and Beethoven for the beginner. But I don’t find them worthwhile additions to the repertory. My interest is pieces that one can go on playing even after reaching and advanced level. Most people would drop these pieces as soon as they could play better stuff. So I will not include them).
Haydn.
Haydn’s sonatas in their entirety may be too difficult for a beginner, however there are several movements that are very easy. Some of the most impressive are:
Sonata in F, Hob XVI/9, 3rd mvt, Scherzo – For the budding virtuoso. Beginners can easily master this movement at slow speed. More advanced beginners can start working on speed. Lots of learning/practising tricks can be learned as one studies this piece. (How to work for speed, how to get accuracy, etc.)
Sonata XVI/8, 4th mov, Finalle: Allegro. As above. This is a fast exhilarating movement, very short, very repetitive in its broken chord figurations. Excellent for forearm rotation and bringing the bass melody over the mist of sound created by the very fast RH. Hands swap figurations occasionally, so both hands get a workout. If you hear this piece, you will not believe how easy it is (around grade 1/2).
Sonata XVI/8, 3rd mov, Andante – A wonderful slow and lyrical movement. Omit the ornaments for the early beginners. Very easy, but due to the unexpected skips it teaches one to think ahead.
(eventually you can add the other, more difficult movements of these sonatas when the student is ready for them).
Thomas Attwood.
Sonatina no. 1 in G major – This has to be the first sonatina to be learned. Grown ups may not find it so useful, but for the below 10 is a great repertory. The second movement is the easiest, but also dull. The first and third movements are excellent. Scale fragments, Alberti patterns, broken arpeggios. Very good for finger articulation/ independence.
Romantic
Amy Beach.
I love Amy Beach music. There is just too much stuff to list and comment here, but have a look at her Children’s Album op. 36, and at her Children Carnival op. 25. They are probably more suited to the later beginner (6 months – one year of lessons).
Pierrot & Pierrette (from op. 25) is a wonderful waltz with a beautiful melody and unusual harmony, very easy and yet it sounds very “professional”.
My favourite though is “Secrets” (also from op. 25) where arpeggio figurations are divided between the hands so that they are (almost) never together. Excellent exercise in equalising the hands tone, and an exquisite piece of music.
Cornelius Gurlitt.
Gurlitt wrote an enormous amount of pieces for beginners is a style similar to Schumann’s. A lot of it is drivel, but here and there you can find some real gems. Main problem is that the real gems are usually for intermediate students rather than beginners. In any case, try these (but by all means explore the rest):
Morning prayer, Op. 101 no. 2 - Beautiful chorale in three voices, will prepare for four voice chorales. Very easy. From here, go to the one below.
Sunday, Op. 101 no. 18 – Four part chorale. Excellent to learn four part harmony and bring up the top voice in each chord.
The fair, op. 101 no. 8 – Very light, with a fast RH going through a circular semiquaver pattern. Very good to develop the inflection of short melodic motifs. Fro the budding virtuoso.
Valse Noble op. 101 no. 14 – A very nice waltz with just 16 bars (two 8-bar phrases). Good for learning how to contrast the grazioso section with the scherzo section.
A song without words, op. 117 no. 34 – A study in broken chords very effective in performance.
Lullaby – Beautiful piece with the accompaniment equally divided between both hands and the melody played with fingers 4-5 of the RH. Excellent preparation for similar figuration in the more advanced repertory (e.g. Mendelssohn’s Song without words op. 19 no.1). Although easy, it is for the late beginner.
In the garden, op. 140 no. 4 – The melody is in the LH while the RH accompanies with syncopated chords. Excellent for teaching how to voice between the hands.
Edward MacDowell.
To a Wild Rose – Lovely piece very easy technically, but demanding the greatest expressivity in playing. Probably better suited to older students. Good for awakening the skills for expression in one’s playing.
Theodor Oesten
Mayflowers op. 61 – 25 easy pieces very romantic, most less than a page long. I like no. 10 “Spanish dance”, melody on the RH, LH rhythmic repeated chords. As you know beginners have difficulty with chords, so this is a good one.
Robert Schumann
Album for the young op. 68. There are over 40 exceptional pieces n this set, but only the first ten or so are really for beginners.
Tchaikovsky
Album for the young op. 39. Not all pieces are for beginners. The easier are no. 1 “Morning prayer” a four voice chorale, no.7 “The sick doll” which is very easy, but the melody is on the second beat of the bar, so it requires attention to voicing, no. 8 “The doll’s burial” very slow and heavy; no. 21 “Daydream”, very good to learn how to do offbeat chord accompaniment and no. 24 “In Church”, again a 4/5 voice chorale, but easier because of repeated chords. Excellent to learn syncopated pedalling.
Modern
If I have time I will add some modern stuff here later.

This should keep you going for a while.

Best wishes,
Bernhard.