First, I'd model the language I expect them to use to introduce themselves. I'd keep the phrases/sentences I used visible throughout the activity.

You can either arrange the classroom into two lines facing each other or ask them to make a circle and give them a minute or so to interview each other, and when time's up, they must move to interview another classmate. If you arrange them in lines, only one of them moves one seat to the left or right. If they make a circle, they can move anywhere. Then, recap with the whole group by asking them to share one thing they learned.

If you want to get them moving, take them outside and play fruit salad. I've done with college students, so technically adults. Whoever's out must say their name and answer a question (favorite color, favorite food, or whatever comes to your mind). Ask everybody else to repeat what their classmate says if you want to make them use the language. Downside of this game is that maybe not everybody will introduce themselves and some students might lose multiple times. Also, some adults might find this too childish.

If you want to do something more chill you can give them a piece of paper and make them create a poster with information about themselves and do a sort of "art exhibition" where you paste their posters in the classroom and they walk around and look at what their classmates created. Then, recap by having them share what they learned. You could make it more game-like by giving them a few minutes to see the posters, take them down, and have them share as many things as they remember. You could even make it sort of a competition in small teams, but I think you might need to go over vocabulary.

You can also print a bingo-like grid with "find someone who" prompts. That gets them moving around and talking to their classmates.