Can we get icons in this style?

Taric shall lead the way forward! http://40.media.tumblr.com/b85eb792ee371b397514f222e1629651/tumblr_muzieed8hV1rned0io1_1280.jpg

I kinda want a cutesy warwick icon like that.

The issue with it would be that with all that detail they wouldn't work well/ look good as small icons.

You mean Chibi Style?

http://leagueoflegends.wikia.com/wiki/Summoner_icon#Unused_Icons

There is hope.