When facing a 1BB min-raise, I typically view it like a check. If I would have checked, I’ll call; if I would have bet, I’ll raise. There are rare instances where this is the appropriate bet size, like a J22 board and the pot is just 4-5BB.
Min-raises to a different size are a different story. Usually it’s a chance to play perfectly with a polarized range - fold off my bluffs and call with my strong value.