and solos
bach partita & sonatas 1-6, chaccone
ysaye sonatas, 1-6
kreisler recitativo & scherzo
In the 20th century, there is Elgar, Hindemith, Berg, and Schoenberg.
Any works in the key of F major? Vivaldi and Beethoven liked that key, but it seems underrepresented. Composers seem wary of writing concertos in flat keys.
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There is some kind of list by DeLay online.
Why don’t you like 2nd movements?
You have omitted the Mozart concertos which are the proverbial fly in the ointment.
I don’t usually rank concertos according to musicality once you get out of the beginner/didactic/often studied but rarely performed realm.
PS The Bach solo sonatas may be the hardest these days because whichever way you chose to play them, 2 out of 5 people get mad at you…