There is a Superman/Batman issue (Issue #78) that has them fighting and Batman Ultimately winning through blotting out the sun, though this was all just 2 kids talking about who would win. The issue does point out one of the most important things about this fight...
While Batman will likely die, he ultimately will win, because he has set up so many contingencies to handle the issue if it ever comes down to it. Dying and Losing is not the same thing is something that a lot of these battles don't take into account.
At the end Batman says "The kid had a lot of it right" and that he'd beat Superman without Kryptonite... whether this is a bluff or not...well, if he'd thought of blotting out the sun then it's not.
Another Batman/Superman fight is in Batman: HUSH. Batman does use kryptonite innefectively in the fight and ultimately wins in another way, rather than using the ring.