Is there a better distro than Ubuntu for my HTPC?

Hello all, I just picked up a Lenovo Tiny desktop, intending to use it as a HTPC. I was going to install Ubuntu on it, but is there a better alternative? I do want some kind of full OS, not just a media player. Specs are: Celeron G1610T Processor (2MB Cache, 2.30GHz), 4GB Ram, Integrated Graphics