The positive reviews that this game got back in the day always confused me because I remember that it was pretty awful.
The squad mechanics sounded good on paper but in practice the AI was wonky as fuck and the whole system didn't even work properly half the time, with your squadmates turning into monsters seconds after testing negative for the thing virus because that's how the game was scripted. I also remember that it was super derivative of Half-Life, as 60% of the game you were fighting these headcrab things and there's also a shocking plot twist halfway through the game where government soldiers show up and start shooting everyone. The plot was just awful and cliched, with the only highlight being the Cigarette Smoking Man from The X-Files providing the voice for the bad guy.
Oh yeah, the game isn't scary either. It's just a poorly made third person shooter where you mow down hundreds of idiotic monsters and enemy soldiers and it aged horribly both in terms of visuals and gameplay. I remember that boss fights were particularly frustrating, with some of them giving you zero time to react after a cutscene before one-hit killing you, until you figured out that all you had to do was to circle-strafe around it and shoot at it a whole bunch of times.
I guess there are no other games that would combine all the elements from the movie in one package, like the Arctic setting and themes of paranoia and body horror, but I'm sure you can find plenty of games that use those elements individually to a much greater effect than this official The Thing video game.
Better yet, maybe you could show your daughter the original Alien next, and then play Alien Isolation, which is a fantastic game and a much more successful movie-to-game adaptation/followup.
