Music from old Tom & Jerry episode [closed]

I've searched for the names of the pieces from this episode:

for a couple of times in the past and accumulated quite a few hours trying to find out the names of those I don't recognize. Sadly, with no results.

• What are the names of the pieces in this episode?

What I already recognize:

• 1:17 - Beethoven's Moonlight Sonata
• 2:14 - Mozart's 11th sonata (Rondo alla Turca)
• 3:13 - Revealed to actually be Chopin's Nocturne Op. 9 (thanks to Catija).
• 3:30 - Liszt's Liebestraum No3.

I believe some other parts are from Franz Liszt's Hungarian Rhapsody no. 2, but I'm not sure (they are used in one other episode so it's likely).

What I need help with:

• 0:36 - Mozart's Piano Sonata in D major - I. Allegro (thanks to grej)
• 2:03 - Debussy's Clair de Lune. (thanks to Catija).
• 2:36 - Chopin's Militaire Polonaise (thanks to grej)
• 2:50 - Verdi's "Anvil Chorus" from the opera Il Trovatore (thanks to Catija).
• 4:10 - Strauss - Blue Danube (thanks to Catija).
• 4:32 - Schubert - Impromptu Op. 90, No. 3 (thanks to Catija).
• 4:38 - Chopin's Militaire Polonaise (thanks to grej)
• 5:23 - Liszt - Hungarian Rhapsody No. 2 (thanks to Catija).