Not sure about Dresden's mind resistance. I have a feeling he's resisted mind manip before, like from the Red and White Courts, plus resisting the temptations of a fallen angel in your head for a few years is an excellent feat of will. But I'm not sure if they would properly translate, seeing as it's only after Turn Coat that wizards actually start training to defend against mental attacks.
Oh wait, I found him resisting mind fog (mind wipes those who touch it)
Illusions, he would have experience with, seeing as he trained Molly for several years and she specialises in illusions. Plus his wizard sight would allow him to just straight up see through any and all obstructions and illusions (and invisibility) to discern the true nature of anything he sees. Problem is, this isn't always a good thing. He once used his Sight to see the true nature of a Skinwalker, which is like a really nasty native american spirit, and immediately went unconscious and started crying in a fetal position, then kept doing so every time he thought about it. On the plus side though, he just kept thinking about it until he had successfully become numb to the sheer horror of what he saw, so that could be useful if Crowley's true nature is similarly horrifying.
Possession probably won't be much help, considering all the times Harry has been exposed to Nemesis (evil possession virus) and completely ignored it. Also resisted
Lasciel
I just link the respect thread for all the spells he can do, but the main ones here would be:
Fire/Lightning Magic
Energy Manipulation (and redirection)
Magic Redirection - specifically, he hijacked an incoming entropy curse (basically, giving someone lethally bad luck) and instead sent it at a vampire (fun fact, this resulted in the vampire being hit at terminal velocity by a frozen turkey that had fallen out of a plan flying overhead). Also, he redirected a hellfire empowered blast away from him and into a cavern roof above his enemy, causing the roof to collapse on them
Fancy Forcefields that block a lot of stuff
He's also got magical circles that basically say "no, **** you" to any purely spiritual being or magic trying to enter. I'm pretty sure demons can't break them either (though that is based on inverse mechanics, so dunno how far we are taking verse equalisation)
Gravity crush
Necromancy (kinda depends on where they fight though)
Also, due to the (so far unknown) circumstances of his birth, Dresden can use magic on Outsiders, who have shrugged off the magic of wizards far more powerful than him. So yeah, he can apparently ignore magic resistance of certain beings. Not sure if Crowley would qualify though.