Nobody in JL can finish him if you are talking about wolverine, he's essentially unkillable, unless one of the JL has a nova blast strong enough to k!ll all of wolverines cells he will just regenerate in time.
You don't need to tell me about flash he's my favorite super hero, but spiderman/wolverine are at least partially well suited to f!ght flash, while hawkeye/black widow he wouldn't even need to use hardly anything to take them out. And obviously this depends what spiderman you are using, you are talking about a pretty weak spiderman, if he has one of his later suits. Cosmic suit spiderman wouldn't be fair for DC, so if it was just like the black suit he could use spidey senses and webs to at least put up a f!ght against the flash. Flash can't k!ll wolverine though so like the other guy said, after he gets hit over and over if he had enough time he could eventually adapt enough to get a hand on him, unless he gets knocked out.
...you are not giving hulk enough credit, superman got beaten to death by doomsday who is DC's version of hulk without limitless strength. They both adapt to anything there is no way superman is going to k!ll him. inb4 "just throw him into space"
bro that was over a decade ago easy. in one of the latest dc animated movies, superman destroyed a whole crew of doomsday's when he found out there were souless. Superman and Hulks power levels have gone up since then but hulk is still not on par with superman.