I like bebop and modern jazz.
Fusion, I love in a big way.
I even like smooth/dinner jazz -- well some of it, anyway.
A good jazz big-band is a thing of beauty, although I prefer it instrumental. Not mad keen on jazz singers -- Cleo Laine, bless her, drives me up the wall.
'Trad' Dixieland/ragtime type jazz? I hate, loathe and detest it. All you can ever hear is the feckin clarinet, wailing away and playing a totally different tune to everyone else, and the bloody banjo going donk-donk-donk-donkadonk-donkadonk. Arrrggh. Given the choice between a} listening to a Kenny Ball album, and b} dragging my fingernails down a blackboard repeatedly whilst listening to a Nigel Faraj speech on an endless loop, I'd say bring on the blackboard.