1) "US-style" English Common Law, applies in Great Britain (and former British Empire worldwide, like Australia, Canada, Kenia, ...). Biggest distinguishing features : right to a jury trial, precendents carry legal weight (judges have to follow earlier judgements when possible), opposing experts, ...

2) "French (Revolution) Law", sometimes named after Napoleon, applies essentially everywhere else. No right to jury trials (some courts have jury trials, most don't), precendents can be cited but carry no legal weight, experts are chosen by the court, ...

There are of course important legal differences outside of these high level differences.