Weber wrote two Clarinet concertos, Clarinet Concerto No. 1 in F minor and Clarinet Concerto No. 2 in E-flat major.
Only one concerto. K. 622.
He did not write the following types of concertos: viola, double bass, oboe, flute, clarinet, harp, and many more instruments. The only concertos that he has written are: Bassoon Concerto, Piano Concerto, Violin Concerto, Cello Concerto.
W.A. Mozart wrote 27 concertos for Piano and Orchestra.
3 complete concertos, and two movements of another.
23
2
There are many well known compositions, but undoubtedly the most famous is the Mozart Clarinet Concerto. Some other well known works include the Weber Concertos, Premiere Rhapsody by Debussy, and Stravinsky's Three Pieces for Clarinet. I also really enjoy the Krommer double clarinet concertos.
Mozart performed a great many of his works himself.
He wrote 450 concerti grossi and solo concertos
Only considering attested works, the number is 44 with the following distribution: piano (27), violin (5), horn (4), flute (1), bassoon (1), harp and flute (1), oboe (1), clarinet (1) for a total of 41 to which we can add 3 more: 1 sinfonian concertante for violin and viola 1 sinfonia concertante for oboe, clarinet, horn and bassoon 1 flute concerto (arrangement of bassoon concerto)
Beethoven wwrote just one violin concerto: the Violin Concerto in D major, Op. 61, written in 1806.
Mozart wrote 5 violin concertos.