Hi Steven
For me it depends on the surface you are jumping and the type of jumping you are doing. For standing vert any light shoe is great. Track shoes in particular (Andrews Nike Waffles for example). For running jumps on a basketball court I like light low cuts without too much cushioning. Most basketball shoes are a little over cushioned for good jumping.
Last summer I tried doing a bunch of long jumps every Saturday morning. I really enjoyed the challenge of trying to get better each week, as well as training outside which I always love (I am thinking about doing a Darqui and buying a second power rack to drag outside on nice days this year - the one in my gym is heavy duty and is bolted to the floor), and of course it was relatively easier on my knees. For the sort of jumping I just wore light thin soled trainers (track shoes) and they were great.
Cheers
Jack