Here's my Top 20 list of keyboard concertos.
I don't attach much importance to the exact ranks. They provide only a general indication of preference.
I give the name of the pianist version I happen to have, or prefer. These are not arbitrary as I do have certain preferences, and in building up my lists I tried to listen and compare different versions. In most cases, I prefer the older (15-40 years) recordings rather than very modern ones.
For Beethoven I generally like Gilels. For Chopin I think Rubinstein is best. For Mozart, I like Ashkenazy and Barenboim. The Ashkenazy recordings below are very modern, and in my view brilliant.
Where generally louder pieces are involved, I like Van Cliburn, as he is well-controlled and in my view fautless (I'm a big admirer of Van Cliburn). For such pieces I also like Martha Argerich and Horowitz, both very powerful, but for these particular concertos below I selected Van Cliburn (less background noise).
In the case of Schumann, Richter is very highly regarded, but I happen to like the Murray Perahia version which is partnered with the Grieg piano concerto.
1 Beethoven No 5 (Gilels)
2 Schumann A Min (Perahia)
3 Rachmaninoff No 2 (Van Cliburn)
4 Mozart No 21 (Ashkenazy)
5 Brahms No 2 (Richter)
6 Beethoven No 4 (Gilels)
7 Grieg A Min (Perahia)
8 Mozart No 20 (Ashkenazy)
9 Beethoven No 1 (Richter)
10 Mozart No 24 (Ashkenazy)
11 Brahms No 1 (Richter)
12 Chopin No 1 (Emanuel Ax)
13 Tchaikovsky No 1 (Van Cliburn)
14 Chopin No 2 (Rubinstein)
15 Liszt No 1 (Van Cliburn)
16 Brahms No 1 (Richter)
17 Prokofiev No 3 (Argerich)
18 Rachmaninoff Rhapsody on a Theme by Paganini (Rubinstein)
19 Bartok No 3 (Barenboim)
20 Franck Symphonic Variations (Rubinstein)
My 3 favourite movements of the whole lot are the second movements of Beethoven's No 1 and No 5, and Mozart's No 21.