Generally, I think it's a bad idea to make someone's eyes look bloodshot unless they're possessed by the devil or smoking something they shouldn't be. It has a disconcerting effect that could cause people to avoid a game rather than play it.
But that could just be a personal problem, as Battle Z: Super Saiyan has over 12,000 ratings despite the red eyes and the not-quite-blonde saiyan hair (like, it's seriously creeping me out).
For those who aren't afraid, Battle Z: Super Saiyan is a fast-paced combat game similar to all the rest, except this one has quite a few different game modes: story, survival, legend, and team.
Could be fun, could be hilarious, could be a little bit terrifying. Just don't stare into his eyes for too long.