If you mean literally played 2 or more instruments at the same time, I think that list is "Rashaan Roland Kirk." I'm sure there are couple others, but it's a VERY short list.
If you mean skilled woodwind doublers who solo on multiple instruments (not occasional doublers like in Duke's band), as someone who was mainly a flutist for a long time, I can name a decent selection:
Eric Dolphy (alto sax, bass clarinet, flute)
James Moody (tenor sax, flute)
Frank Wess (teno sax, flute)
James Spaulding (alto sax, flute)
Bennie Maupin (just list the woodwind section here)
Rashaan Roland Kirk (you know)
Yusef Lateef (tenor sax, oboe, flute, and more)
Jimmy Giuffre (clarinet, tenor sax, bari)
Bud Shank (alto sax, flute)
Sidney Bechet (soprano sax, clarinet)
Charles Lloyd (tenor sax, flute)
Joe Farrell (flute, soprano sax, tenor sax)
That's 12, if you put Bud Shank with alto and Sidney Bechet with soprano as they were less persistent doublers, you get 10 solid woodwind doublers... And I'm SURE my list is short.