In addition to Beethoven, Brahms, Sibelius, Mendelsohn and occasionally Tchaikovski, I can enjoy Bruch, Dvorak(!), Barber, Prokofiev, and Mozart. Dvorak gets more play time as I'm rather fond of Czech music.
What are your most favorite violin concerti?
Mine are:
Beethoven's,
Tchaikovsky Concerto in D,
and Mendelssohn's in Em
Many would argue with me but I think the best of them all by far is from Beethoven. I know a lot of people including those in the academic circle believe it's the Tchaikovsky concerto.
But anyway that's only my opinion.