Actually, for the OP, this might be the best comeback (since we’re dealing with someone irrational here, and what you need is not some way to rationally convince them that they’re incorrect, you need a smackdown).
They: “They shouldn’t allow gays to marry because what’s next?, people will be allowed to marry dogs and cats?!”
You (mock outrage): “I know! I mean, if they allow gays to marry, the next thing you know, they’ll let Negroes marry Whites!”
But I think that the argument that A may lead to B, which can lead to C, can be legit. It’s when they skip over all the way to Z, then that’s a true “slippery slope”.
For gun control, it certainly can be argued that a ban on “assault weapons” could lead to a ban on handguns*. To then say it will lead to the UN taking over the US under martial law and a door-to-door warrantless search for guns is a bit extreme.
as Stealth Potato pointed out, this is the goal of some Gun Control orgs.