Probably the piece that affects me the most is Moonlight Sonata by Beethoven. It is extremely passionate and powerful. Another piece is New World Symphony by Dvorak.
Almost anything by Tchaikovsky, Chopin, or any of the Romantic composers who worked in the mid- t late 1800s will evoke an emotional response in most people.
Des Ires is a good one that evokes emotion. It is a slow dirge that is quite dreadful. It gives the listener a haunted and full sound. Which evokes emotion.