I can't think of a single game that makes use of a PARnet cable.
There are some games that make use of a DataLink cable. It is a Serial cable with the same connector on each end for DataLinking 2 Amigas together. The best Datalinkable game is Stunt Car Racer.
Most Multiplayer Amiga games are Multiplayer on the same machine with 2 Joysticks like Gravity Force, or 4 Joysticks with an inexpensive 4-Player-Adapter like Leathernecks or Hired Guns. Or just good old fashioned taking turns like Total Chaos AGA.