Mozart's concertos (21, and maybe 20 excepted) are far too "sunny", irritatingly so.
My best 10 would be (mainly judging by first movements, except Brahms 2 which also has a comparably good 2nd movement):
(1) Tchaikovsky 1 (cliburn, gilels) or Brahms 2 (katchen)
(3) Beethoven 3 (brendal)
(4) Rach 2 (Cliburn)
(5) Beethoven 5
(6) Rach 3 (Horowitz for mov 1 and 2; Argerich for mov 3)
(7) Mozart 21
(8) Schumann 1 (argerich, richter)
(9) Brahms 1
(10) Grieg 1.
The prelude to the cadenza and finale of Mozart 21 mov 1 though is worthy for a high ranking in the list.
I'm not a fan of the fantasy concertos (eg prokofiev) or the emotionless ones (eg Beethoven 1-2 and most of Mozarts)