as @fresh wedge said, anything with a motor. the normal ones are as you say vacuum cleaners. and also mains powered power tools (drills etc...). a low power fan is probably fine but again as already mentioned. manufactures most don't even put an inductive load rating on stuff so you don't actually know what is safe.
my general rule is that if there is a socket that is easily accessible then someone will plug a vacuum into it at some point. even if you tell people not to. because they don't understand and don't want to. got workman in and they need to plug a power tool in? good luck explaining to them they cant use the socket right next to them but instead the special one out in the hall with an extension lead.
even if you think you can deal with the limits. you must account for others.
large inductive appliances absolutely should not be on anything with a relay. if you absolutely must have the ability to switch them then you should set up a heavy load contactor which can then be triggered by a smaller relay.