(The forums are drowning in "Favorite something" threads, so I simply had to make a thread for all the wind-worshipers out there.)
Here is my list.
It will be shorter than the lists on the other favorite-threads and I'll write a little bit about the works (just like Kurkikohtaus does on the favorite piano concerto thread, I really liked that).
Because I am required to play a solo part in a concerto with my school's string band, I have been listening to a great deal of oboe concertos (there is surprisingly much to choose from). My favorite oboist is Lajos Lencés, he has a really great tone, bright and really refined, but not over-smooth. Although Heinz Holliger is more famous, the most known oboist in the world I'd think, I can't apreciate his thin, and almost cold, tone. Other oboists I like are Maurice Bourgue, Oliver Doise and Emanuel Abbühl.
There won't be any clarinet concertos on my list, I simply do not like the sound of the clarinet, so please don't flame me for not putting Mozart's most celebrated work, and the best known wind concerto, onto this list.
1.Johann Sebastian Bach: Concerto for Oboe d'Amore, in A, BWV.
The second movement, larghetto, is simply the most beautiful music I have ever heard. For that alone I place the concerto on the top (but the rest is in no particular order). The string part in the movement is really simple, while the oboe d'amore sings a highly lyrical and expressive line. The allegro movements surrounding the larghetto do not posses it's supernatural beauty but have other qualities, so they are also enjoyable, not completely overshadowed by the larghetto.
The concerto fits the oboe d'amore perfectly, I have heard transcriptions but it simply does not function on other instruments. I allow myself to say that the piece is lesser-known because the oboe d'amore itself is a rare instrument. I place the concerto among Bach's best works.
2.Antonio Rosetti: Oboe concerto, in D
A concerto by a forgotten bohemian composer of the classical era. The piece is full of humor and wit, a fine example of the oboe not in it's role of melodic expression.
3. Carl Maria von Weber: Bassoon concerto
Most people think about Weber as the genius who wrote the opera Der Freischutz, I think about him as the genius who wrote the only great double-reed concerto of the romantic era (if you know about other great double-reed concertos of the romantic era (besides the italian ones) please let me know!).
4. Antonio Vivaldi: Oboe concerto, in a
The first concerto I played (with piano reduction of the strings), he is one of Vivaldi's better oboe concertos, but not the best, simply a favorite.
5. Aaron Copland: Quiet City
A double concerto for trumpet and english horn. With this unique combination Copland catches a still and serene, but very special, atmosphere. A great piece.