Lilliput and Xenarc are the major ones (Xenarc seems to be more popular, but I use a Lilli). Any should work as long as you make sure that the TS has Mac drivers (both Xenarc and Lilli use the eGalax drivers and I believe there are others that do too).
The LCD/TS shouldn't have any impact on the AppleRemote (unless the Mini is mounted behind it

).
-dave