What are your most favorite violin concerti?

This is a "Sophie's Choice" question. It ought not to be answered.

"This is a "Sophie's Choice" question. It ought not to be answered."

Not at all. Sophie was forced to select someone to die; we're selecting things we love without destroying anything.

My personal favorites:

1. Saint-Saëns no. 3 in b minor
2. Tchaikovsky in D Major 
3. Bach Double in d minor4. Shostakovich no. 1 in a minor
5. Lalo Symphonie Espagnole
6. Bach concerto no. 1 in a minor
7. Barber violin concerto 
8. Sibelius in d minor

BEETHOVEN "VIOLIN CONCERTO" HEIFETZ - MUNCH
(Vinyl original RCA LSC)

or when digital is the way to go
same Concerto with Herbert v. Karajan & Anne Sophie Mutter
Deutsche Grammophone

Beethoven. Oistrakh/Cluytens on EMI
Mozart 5-I like Andrew Manze cycle the best.
Bach-Rachel Podger on Channel Classic 
Mendelsohn-take your pick here-I will go with Perlman or Michael Rabin.
Brahms-Leonid Kogan/Monteux and the Boston.SO
Bruch-Francescatti/Schippers NYP
Sibelius- Francescatti/Bernstein NYP
Barber-Vadim Guzman in BIS
Korngold-Ditto
Tchaikovsky-many favorites Heifetz/Reiner today’s pick
Shostakovich 1- Oistrakh/ Metropolous in excellent mono, Vengerov/Rostropovich in stereo.
Prokofiev 1&2- I like Steinbacher on Pentatone-not the flashiest but she seems to humanize them
works I have never grown to like-Bartok, Elgar, Britten

this survey ignores the bazillion Vivaldi,Tartini, and other baroque masters