Depends on the mood. I like to play big band, blues and classical mainly. I like to play jazz from the dots and would improvise more if I had the talent for it. I do like rock 'n roll but think it's more suited to tenor than alto, and I don't much like playing tenor
I give huge respect to anyone who brings horns into new areas - check out Bellowhead with their traditional folk songs played with a 4-piece horn section. Saw them a few weeks ago - absolutely, freekin, awesome, must-see band!!
I must say that when I put the poll up I suddenly had a mental block as to what types and styles of music I should add to the list and I realise today that 'other' is obviously going to be the biggest group as there is such a wide range of music out there. I have to say I would probably never have put Braziilian music in as a category, now that IS an obscure and specific genre. I suppose I was being a bit biased because I am great fan of playing classical music and love to make the low notes on my tenor sound like a cello, the upper notes like a violin and overall like a french horn -- sometimes I like it to sound like a saxohone!
Of 'the others' it does seem that the biggest groups are rock (and roll) and blues, perhaps more so than jazz but then jazz has so many subdivisions.
The important thing is that we play saxophone and each his or her own.
Oh, apart from 'free jazz', no one should 'play' that unless you want to outplay a randy tomcat!