Reddit mentions of Rio Grande Games Transamerica Game

A few games I like that would probably fit the bill:

Spot It. Super fun game, easy to learn and quick to play. Not the deepest game but it's lots of fun for all ages and a nice quick game to play when you want something short or as a break between longer games. Good for any number of players.

Dixit. A storytelling game. Each turn one of you is the "storyteller" and tells a short story (one word to a sentence) about it. Everyone else picks a card from their hand that they think fits the story. The cards are mixed up and everyone guesses which one the Storyteller had. The interesting scoring mechanic is the storyteller only gets points if some people don't guess right. If everyone or no one guesses right, the storyteller gets no points and everyone else gets points. Plus, if it's not your turn but someone votes for your card, you get points. The cards can be somewhat crazy and surreal but are definitely safe for a 9 year old. The game is a fun casual game.

Ticket to Ride. Fun game where you lay out train routes. You can block people's routes and you will be angry at whoever does that to you. Only takes 5 people though.

Tsuro. Another somewhat shorter game. You take turns laying tiles and moving your Dragon along the path they create trying to stay on the board. Near the end of the game it gets hectic and you might end up knocking each other off.

TransAmerica. A train game like Ticket to Ride but faster and a little less complex. Rounds go quickly and it has an interesting scoring mechanic. Each round you lose points if you don't connect to your cities and the game ends when someone is at zero. The winner is whoever lost the least points.

7 Wonders. A fun game that involves playing cards that you draw from a hand you pass around. Takes up to 7 people but might be slightly too complex for the 9 year old.

Shadow Hunters. A hidden roles game where you will be on teams but you won't know who's on your team. Throughout the game you try to figure that out and it can get very competitive. Again might be slightly too complex for the 9 year old but maybe not.

Castle Panic. This game is slightly different because it is a cooperative game. All of you play against the game itself to try and defend your castle and defeat all the monsters. It's a pretty fun game.

There are a ton of other good games but I'll stop for now since I've probably listed too many as it is. Two things I'd recommend to try to find new games that your family might like beyond these. First, see if there's a board game store near you. A lot of them will have board game libraries where you can go in and try out the games at no charge. Most (in my experience) are pretty friendly to newer players. Second, check out TableTop. It's a show hosted by Wil Wheaton where he explains games and then plays through them. My wife and I used it as a good way to see new games that we might be interested in without having to buy them sight unseen, since boardgames can be expensive. The demo part of the show has sold us on a bunch of games (several of which are listed above). Hope this helps and enjoy the family game nights.