I was digging through my old files (some are almost 20 years old!) and I found my original copy of TIE Fighter for DOS.
A quick download of the latest DOSBox (in this case, 0.72) and I was on my way. I opened DOSBox directly from the disk image, and didn't bother copying it over, yet.
I mounted the directory where TIE Fighter was (in this case, on my network server):
mount C "/Volumes/programs/PC/Tie Fighter/dostie/"
Those were the only commands I needed to run, and it was up and working. ALT+Enter made it full screen, and CTRL+F10 releases the mouse.
The only problem I ran into was that while I had my copy of the game, I no longer had the manual, and couldn't get past the copy protection. A quick Google search for "The Patcher v6.5" solved those problems - it ran directly in DOSBox with the greatest of ease.
Next step will be to find a joystick and see how well I still play. I also fired up Sim City 2000 and DOOM, all from a copy of a disk that hasn't been accessed in eight years or so.
Note, I have an Intel Mac, and I'm not certain DOSBox would run the same on a PPC Mac.