Two years? Two months should do fine.

I assume you mean classical pieces originally written for piano
In no particular order:
1. Beethoven - Fur Elise
2. Bach - Prelude 1 of WTC book 1
3. Chopin - Fantasy Impromptu
4. Beethoven - First movement of Moonlight Sonata
5. Schumann - Traumerei
6. Mozart - First movement of Sonata K545
7. C. Petzold - Minuet in G (often attributed to Bach - from the Anna Magadalen notebook)
8. An. - Heart and Soul
9. Chopsticks
10. Rachmaninoff - Rach 2 or variation 18 on a theme from Paganini.
Best wishes,
Bernhard.