Branching was by and far the winning feature for me. SVN made branching and tagging very time consuming (making a full copy, to the server nonetheless). Merging correctly on SVN? Never the first time! Usually took 2-3 tries before you got the syntax correct. Dry-run never really helped either. SVN merging was leagues harder to learn then the entirety of git for me.
The simplicity of making a local directory versioned is wonderful too. It has use far beyond code. I can quickly version my documents folder, easily recover from mistakes, and with one little push I have a backup! To even try to do this in SVN was another headache, and it required an SVN server somewhere... with git I don't have to push if I don't want to.