heres my idea..
Dragons-simply coldones, no wings
theyre just incredibly fast(eldar have been usin em for millenia, im sure they evolved them to a certain extent) and mobile
Shurikats-say it comes outta their laser lance, makes sense to me(when charging, the shots are s5 cuz theyre closer
as for tanks... use tanks
the exodites shunn most tech, but i doubt theyd shun ALL tech, as they live in whole planets with em, something needs to be lightning fast to cross vaast distances
the tanks... they could also be CW eldar gifts!
shining spears could be dragon knights
vipers-simply vipers
no avatar though
and aspect warriors- make em elite exodite soldiers, that just happen to fight on foot
scorpions- guys with heavy armor and longswords (long shaft, curved falcion type blade) itll be like their extra initiative attack
banshees-wardancer type warriors?
avengers- well armed warriors
wraithlords-bigass dragons with guys on the back, like that old exodite pic in the 2nd ed codex
and so on...