By Mudcat, I'm assuming you mean flathead, which in that case I used to target them with cranks on occasion with a Storm Deep Lightning shad grinding it through riprap during spawning season. Never caught any big ones, but a bunch up to 17 pounds. Catfish in general, there aren't many trips once the water gets above 60 that I don't catch a catfish. There is no bait that is surprising for them to eat, they're very predatory just like a bass. They'll hammer a crank, spinnerbait, trap, jig, worm, but the best are topwater cats, they put a bass blowup to shame. I've caught channels over 10 pounds on buzzbaits and on a frog in the slop. My bladed jigs are catfish magnets. I had a day last fall I caught 13 channel cats in a day on them, at one point I'd caught 4 on back to back to back to back cast. If you really want to catch some catfish on lures buy some Gulp plastics.
Here's one that destroyed my bladed jig over some milfoil last week and really had my hopes up for just a second.
Catfish on lures is nothing out of the ordinary.
14lb on a Baby Brush Hog under a dock
My wife catches a ton of channels on a Ned rig.
21lb on a power minnow and 4lb test.
40lb on a homemade casting jig
another Ned rig channel
12lb on a Craw Fatty
14lb on a homemade casting jig
piebald blue on a Gulp minnow
23lb on a homemade finesse jig
Homemade finesse and a pretty typical flathead that I catch lots of each year.
Slab Spoon
jigging spoon
Ned rig flathead
bladed jig fattie
8lb flathead on a brush jig
I don't even take pictures of most catfish I catch on lures