For bigger groups: Wavelength, Telestrations, Just One, The Game
For smaller groups: Mysterium, codenames, jackbox party pack

Randomness is often desirable in party games because otherwise it’s usually a small number of people who are competitive and the rest are bored/quit.

TLDR; Use poker decks to clone 3 sets of Love Letter

I’ll recommend some boardgames.

Once you go over 7-8 players, the options are greatly reduced. The available genres become (mostly) limited to social deduction

Social deduction, all about trying to figure out other peoples cards. And lying, lots of lying.

• Love letter, 6 players, 20 cards, ~13 tokens, for points
• Avalon, 7-10 players, ~30cards, tracking mat/paper
• Secret Hitler, 7-10 players, ~30 cards, tracking mat/paper, has a print-at-home version.
• Ultimate werewolf/vampire/etc, ~10-12 players, ~13-15 cards, phone app (for narration, free)

*None of the above are very good for playing as teams (i.e. two ppl taking a single player spot)

Group Games games that do well with teams

• Codenames, various versions.
• Forbidden Island/Dessert/Sky - co-op game for various number of players

As a special mention, Challengers is a board game that allows you to create simple yet fun card drafting tournaments. There are two editions, each allows you up to 8 players, and if you have both they can be combined into 16ppl tournaments

For your numbers, you’d need to buy 2-3 copies of the same game. Not ideal, even if you have the budget.

I’d say, print yourself three copies of Love Letters, you can find the cards online, or just play with 2-3 poker decks. Its the best game in my library, simple yet deep. We’ve been playing it at least once a week for 3 years now. I’ve even managed to play once with a mob of disinterested teens ;)

It’s been a long time and I’m not sure of it’s current state, but some friends and I used to have a blast play Artemis Spaceship Bridge Simulator (I think there’s a couple other games out there now that are similar)

You kind of need the right setup for it to work well, a big TV or projector you can hook up to a computer and everyone needs their own laptop, etc.

The basic idea is- picture the bridge of the enterprise (or your starship of choice) you’ve got a bunch of people with their own consoles responsible for different aspects of the ships operation, the helm, engineering, weapons, etc. That’s what you’re doing.

I think at some point they added support for support fighters and such to accompany the main starship so if you have more people they have something to do.

We also made up a couple extra positions, like a captain who didn’t really have his own console, he just got his own chair front and center and a fancy hat and gave out orders.