Classical:

• Camille Saint-Saens.
• Johann Sebastian Bach.
• Antonio Vivaldi.
• Pyotr Ilyich Tchaikovsky.

Contemporary:

• Yann Tiersen.
• Yukie Nishimura.
• Yiruma.
• George Winston.
• Philip Glass.

Composers who have really cool names, but I only like a couple of their pieces:

• Ludwig Van Beethoven.
• Frederic Chopin.
• Wolfgang Amadeus Mozart.
• Johann Pachelbel.
• Erik Satie.