The thing I like about the IIe, especially the platinum one, is that it's got the most contemporary/up-to-date componentry possible (in the traditional II form factor). There's not a lot that can/does go wrong with them. The II and II+ machines generally need some TLC to keep running - reseating chips, etc. It's not Woz's fault - oxidation takes its toll. A II/II+ is great for tinkering and that true retro feel, but for long-term viability, I like the platinum IIe.
Also, the later the model, the better the video out looks on something like an LCD TV. The video circuitry got more and more solid (steadier picture, blacker blacks, etc.) as time went on. I have an original II that puts out an absolutely wavy and fuzzy picture on my LCD monitor - even the IIc looks a little woozy. But the IIc+, Platinum IIe and IIgs are solid as rocks. (I succumbed to the collecting bug, as you can see...)