The Four Countries Catch
Split the gym into 4 equal sized areas. Add 1-2 catchers in each area, but have a lot of players.
Game 1
Each catcher has to try to clean their own area of free participants. If caught you have to do an exercise (catcher decides what) until someone free copies the exercise 5 times together with you. If the exercise is copied everyone doing the same exercise is free.
Game 2
The catchers works together and has to catch as many as possible withing 2 minutes. After 2 minutes the number of caught persons are counted. This version can be played without the freeing option of Game 1.
Game 3
You are only allowed to move in certain ways in each country: hopscotch, crawl, jump, run, both as catcher and free. The exercises should extend on the movement pattern, i.e. if running, do running with knee lift. Could be played without the freeing option.
Variation
Game 3 can be done without exercise, so that you just have to move in special ways in each country.
The exercises could be related to fencing footwork.