Fonts that render well on any browser

Hey guys.

I'm amateur on type. I've had some problems with type rendering across browsers, searched all over the web for good articles but still nothing.

I don't have time to really study and understand font rendering right now, but I need to find what fonts I can use. Fonts that, even if they display differently across browsers, still look good (not creepy).

1) Can you guys list the fonts you know look good on the popular browsers?
I mean IE8+, Chrome, Safari, Firefox (including mobile versions).
→ Preferrably Google Web Fonts.

2) Do you know a website focused on this issue (crossbrowser type)?