What I have dealt with and how I manage them:
- Rats - ended up after fighting for months with natural methods using poison to get rid of them. Removed all bird feeders and all feed is now in critter proof bins. Metal bins are a must. They are messy, stinky critters that will chew off bunny feet.
- field mice - they honestly haven't been a problem for me and now one of my cats takes care of any problem critters.
- Domestic mice - I trap them in a live trap and humanely euthanize them.
- Possums - live traps, remove to forest area. Lights that turn on with movement, they don't stick around. Keep any meat/dead stock OUT of the compost bins. Can be dangerous if see rabbits if food, but normally go after carrion.
- Raccoons - live traps, remove to forest area. make sure there is no food lying around, lights that turn on with movement. They will reach into cages and pull bunny legs, ears, basically whatever they can grab. Leaving you with a young rabbit or rabbits to euthanize.
- Hawks - no rabbits left in play pens on the grass without being right there in the yard with them. They'll snatch a rabbit given an opportunity.
- Feral cats - trap and remove to animal control.
- Squirrels - live trap, remove to forest area. They make a mess of hay, straw, chew to get into feed, so metal bins are a must. Set live trap in rabbitry so only catch the problem makers.