D&D with no stats?
D&D is do-able with no stats I think, when it gets down to it, you don't really use the stats for much, you just assume 10 basically...
so ride is just ride ranks and so forth...
A couple of things that would need implementing.
New skills:
Lifting/Carrying (add ranks to 10 and consult encumberance table using this value instead of strength).
Initiative (make initiative skill check instead of d20 + dex).
Everything else should well work - though I'm not sure I really see the point...