It’s the nature of the beast…cast iron, aluminum, and time. Generally though it’s corrosion around the dowel pins that make it hard. You can try soaking it with some penetrating oil (WD40, PBBlaster) and smacking areas you can get to with a rubber mallet and repeat if you want to be gentle. If you don’t still have the trans bolts loosely in, put a couple back in a couple turns to keep it from completely coming off while you are working on it.
If it’s still in the car you can raise and lower the engine on and back off the mounts a few (or a bunch) to change the tension on it and “try” to shake it around while down and up and/or pry if you want to.
Prying. That’s generally my next step after quick frustration with the gentle approach. Just be careful and mind what you’re prying against. A nice set of pry bars are handy but screwdrivers can be used. I try to use two side by side to spread the stress. I’ve have also driven a 2” putty knife in between them to get it started. Sometimes they (transmissions in general) can be a real pain to separate.
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