Why would you need to go to a museum to see these critters when they're everywhere around you? The answer isn't so much about seeing as rethinking. The Grant Museum's doing the natural-science version of what I do here at The Pet Museum: examining the impacts they have had on our world and our cultures. Upcoming discussions, if you're lucky enough to be over on that side, are: "Is It OK to be a Cat Guy?" "Rats," and "Cats Broke the Internet."
Atlas Obscura has a bit more on it here. (A word of warning: Nature science means specimens. There are skulls, mummies, a preserved kitten.)