My dd also loves a game. Some of our favourites are dobble, uno, exploding kittens, no more llamas, catventures, guess who, jenga, payday, game of life/monopoly junior, egged on, top trumps.
I've also got the following on an amazon list of ideas for her (recommendations from similar threads), kerplunk, enchanted forest, labyrinth, rush hour, sleeping queens, outfoxed, junior colour brain, big potato ok play, bop it, sushi go, taco goat cheese, dont upset the llama, beetle drive.
Other ideas that have been a hit in previous years and things we have for this year, nintendo 2ds with games, alexa for her room, dressing up, origami set, adult colouring books and sharpies, scratch art, cuddly toys, fidget toys, proper styling head, accessories for her room, figures (mine liked disney, funko pop minis, dolls, shopkins, busy books). Digital camera. Roll up drum kit. Fleecy blankets. Subscription for a magazine/comic - mine liked phoenix, beano, the week junior. Fingerlings and electronic toys like boppi the llama, hatchimals llama have been popular with my dd (I buy cheap, secondhand or on offer as they are soooo expensive when they first come out!)