Quoting pwvr41390:
When I got the car it was not drive able at all. Since then I've done brake lines,tune up,valve cover gasket, a bunch of exhaust work, fluids, tighten belts, every brake hose, and greasing caliper slides. The car is rusty but it runs great. I haven't checked compression. I'm just looking for more power now.
I always feel that timing belt, associated pullies, and water pump replacement are of high priority, as well as rubber parts. Engine mounts, radiator hoses, vacuum lines, bushings are all going to be shot at this point if they are originals.
You would be surprised how much of a difference new motor mounts makes in tidying up accel/decel slop. Any old rubber vac lines will likely have cracks in them that the naked eye cannot see. PCV valves should be replaced, and fuel filter. Probably lifters as well.
Once those are addressed, then look to power. Free up breathing with intake and exhaust, rewire fuel pump with thicker gauge wire is also a "free" basic mod.
www.vfaq.com is your friend. There is also dsmtuners that has a lot of drivetrain related info since the dsm and e39a gallant share the basic engine/drivetrain components, sans drive shaft which I believe is longer for the galant.