Most of the basics are pretty much the same (like removing the exhaust, starter, driveshaft, rear mount), but yes there are some significant differences.
I'm not sure which years or applications had a drain plug on the torque converter, but if your car is one of them, it will be above a black access cover on the bottom of the bell-housing. Turn the engine over with a wrench to line up the TC drain plug with the access hole. This will not drain the entire transmission though, so remove the pan to get the bulk of the fluid out, and don't forget to disconnect the cooler lines too. Reinstall the pan before removing the transmission from the car.
There's no need to remove the auto shifter from the cabin, unless you're doing a manual swap. You will however need to disconnect the shifter cable and electrical connections from the transmission.
Before undoing the rear mount and separating the transmission from the engine, you will need to unfasten the torque converter from the flexplate. Removing the metal plate at the bottom by the oil pan won't give you enough room, so reach up on the rear left (driver side) of the engine to find another black rubber inspection cover next to the block. It'll just pop out, and give you access to the TC nuts. Turn the engine with a wrench to line up and remove all 4 nuts.
1995 Mustang GT (5.0), daily driver
1995 GMC C2500 (5.7), alternate daily driver