Hey :)
Amir has written a very nice little user script that adds a little icon next to a statement. Clicking on it leads you to a query for items with the same statement. So if you are on an item about a cat you can click it on the "instance of" statement and then find all other cats. More details here: https://www.wikidata.org/wiki/Wikidata:Project_chat#Do_you_want_to_see_state... Please also leave feedback there. If you like it it can be turned into a gadget later. (I don't think it is a good idea to put it in the default UI at this point.)
Cheers Lydia