I've got no problem with a bit of fungus, depending on where it is.
On my Sonnar 180/2.8 (6x6) and my Cyclop 85/1.5 (135),they've both got tiny little strands of fungus around the edge of the rear of the first element (maybe 10% of the radius in from the edge).
a) it's dead (just put it in the sun for a few days should kill anything), b) it's generally easy to clean off (lenspen ftw), plus most front elements come off easily, and c) even if you can't clean it all off, they're both mildly-long lenses so the edge of the front element doesn't do much to the picture, especially if you stop down a bit (or put a step-down-ring on the front element as a waterhouse stop as I do for the Cyclop), if it does anything the fungus might make the bokeh a tiny bit softer.
On wide-angle lenses, especially on the rear element, forget about it, that'll more than likely show up on the photos. I've got a 50mm 6x6 Flektogon, the rear element got etched from the fungus a bit, it's a nice paperweight now.
Haze (if it covers the whole element) normally just reduces the contrast of the photo, easily recoverable in digital but probably not if you wet-print in colour.
Separation is going to change the formula of the lens entirely, depending on how bad it is. If you're asking here I'll presume you don't know how to fix it yourself, so either learn how or just stay away from them...