There was a film I loved as a kid; it will have come out in the early-to-mid-1980s, at a guess, set in late-Cold-War-era America.
A stereotypical family unit (mother, father, brother, sister) of human-looking aliens land in Anytown, USA. They meet a similar family of sympathetic Americans, who collude with them to keep them "safe" from the authorities. They spend most of the film trying to work out a way to get home (either fixing their crashed ship or its comms system, I would imagine, though I don't remember which) and at the end of the film...
...the sympathetic family of Earthlings help them get Social Security Numbers and integrate into human society, because they come to be comfortable with the idea of not being able to go home.
They might have had some kind of mild "superpowers", and I remember a scene involving a university athletics track. I'm pretty sure it was set in a university town, possibly somewhere in the Rockies, but my memory is very fallible, so this paragraph might be false memories.
I was in my early teens (at the latest) that I saw it (so no later than the 1980s) and we rented it on Betamax(!!) several times when I visited my grandmother, so it was the kind of film that would have been available in corner-shop video-rental stores in the UK. It didn't feel dated at the time, so I'd guess it was made after 1982ish.
