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I'd like iconics to be more complex than the typical ones from the past.
They don't need to be statted out, but I'd like two or three iconics to be truly/evidently multiclassed and non-standard.
Having an iconic for each class doesn't give players the necessary "comfort" in truly customizing and mixing character classes. We need more variety.
Also, theme and background should figure of course, and having standard "Rogue/Lurker/Commoner" and "Fighter/Slayer/Soldier" iconics is really not fun at all. Give us a Halfling Paladin/Magic User/Hermit iconic, an Elf Fighter/Healer/Noble and so on... Show us variety! What I mean is that standard iconics aren't needed: the class can already offer those with simple illustrations in their write-up.
True, memorable characters should be more complex and less standard. Give iconics some story and soul, borrow from the great flavor and storylines of MtG's planeswalkers (minus the epic power of course).

I'd also like to embed here a So.cl post on memorable iconic characters, came out from just an image search, and "interpreted" with the class/theme/background system in the comments.