If i may add one more thing - and I say this sheepishly - I enjoy the finger motions of bach - but it gets too tedious sometimes. Which of your friends is going to ask you 'play more bach, play more bach.' I'm of the opinion - unless someone wants to nod off to sleep - you don't ALWAYS have to start out with the french suites or english suites. Try something dogmatic - like the d minor toccata and fugue. Rouse them from slumber.
OK. now, that the baroque era is out of the way - let's try something classical, too - how about something that isn't as well known as mozart, beethoven, haydn, schubert or dratted clementi. i'm just thinking right now - we'll find you something. Something to make people stand up and notice. You know - walk by your practice door - and say 'who is that? what piece is that? Don't you like making people wonder.
as was suggested to me - the classical era didn't just 'bang' - start. CPE bach was gradually making distinction with his keyboard sonatas in a new style. this would be called 'late baroque' (until 1740). mid-century (1740-70). and then - classic (1770-1800). CPE's prussian sonatas would be very interesting to study and compare with what we term 'classical' because they are certainly not following the exact same principles as mozart/beethoven/schubert/. they are not yet 'there.' thus making a case that 'classical' is also 'late baroque.' that will stuff a teacher.
then, maybe i WOULD go for some haydn - just for making a case that the classical era was still in transition. didn't he compose in the earlier mid-century? CPE started the idea that the sonata had three movements - fast-slow-fast. two themes were presented, elaborated, and restated in the first movement (from john gillespie's 'five centuries of keyboard music'). the second sonata type, although usually limited to three movements, gave the minuet equal stature with the other movements and generally preserved the same tonality throughout. Some of haydn's early sonatas may be considered 'divertimenti' since they follow the composer of the time 'wagenseil's' prototypes from his divertimenti.
haydn was unusual, because (unlike mozart) he composed nine sonatas with just two-movements and two with four-movements. haydn's first movement is sometimes a theme and variations instead of sonata-allegro, and frequently the final movement is cast in minuet form.
i'd move from haydn to beethoven later - but definately study some haydn just for the sake of it. many of haydn's themes, according to gillespie, are built in irregular periods of three, five, or seven measures and he shows a tendency to suppress the importance of the second subject or theme. haydn often wants to present his first theme in a fresh guise. this way he reserves any new material for a less obvious occasion.
in haydn's sonata no. 30 in A major (36) - he tried to link all three movements together. that would be an interesting study?!