Whenever I see someone say Rabbids remind them of Minions, I wonder if they know that Rabbids came first? Minions first appeared in "Despicable Me" from June 2007, but Rabbids first appeared in "Rayman Raving Rabbids" from November 2006.
Haha yeah you're right! I vaguely remember a rather annoying advertisement campaign for Rabbids actually, with them photoshopped into well known monuments or overturned cars? I think I was just a little salty that Rayman's franchise was centered on these new characters now, as I wanted a Rayman 4 back then.
As for the Minions comparison, it's mostly because of the voices I think. The sort of incoherent babble? I mean you could argue both Minions and Rabbids are sort of like Smurfs in that they all look very similar but have one-note personality traits you can derive from what they're carrying/wearing, but at least the Smurfs are capable of proper speech.
I should add that I've never seen a Despicable Minions movie, nor played a Rabbids game so I'm totally judging by the cover here. Maybe they're both really funny in context but the advertisement of Rabbids (and Minions) has so far not convinced me; this game might change that.