Cats are intelligent, curious, and playful animals. You can play many games to give them exercise, mental stimulation, and an opportunity to bond with you. Here are ten games to play with your cat:

1. Laser pointer chase: Most cats love chasing a laser pointer; it can give them lots of exercises and mental stimulation. Just be careful not to shine the laser directly in your cat's eyes, as this can be harmful.
2. Fetch: Some cats can be trained to play fetch, just like a dog. Use a small toy or a crumpled piece of paper and toss it for your cat to chase and bring back to you. This can provide them with a fun and challenging activity.
3. Puzzle toys: There are many interactive puzzle toys available that can provide your cat with mental stimulation and encourage them to use their natural problem-solving skills. These toys typically involve your cat working to retrieve treats or toys that are hidden inside the toy.
4. Hide and seek: Cats enjoy the challenge of finding hidden objects or people, so hide treats or toys around the house for your cat to find. This can provide them with a fun and stimulating activity.
5. Catnip toys: Catnip can be a lot of fun for cats, and there are many catnip toys available that can provide your cat with a stimulating and enjoyable experience. Just be aware that not all cats respond to catnip, so if your cat doesn't seem interested, try a different type of toy.
6. String play: Cats love chasing strings and batting at them with their paws. This can provide them with plenty of exercise and entertainment. Just be sure to supervise play and use a safe string for your cat to play with.
7. Boxes and paper bags: Cats love exploring and hiding in small spaces, so provide them with empty boxes and paper bags to play in and around. This can give them a fun and stimulating environment to explore.
8. Feather toys: Cats love chasing and pouncing on moving objects so that a feather toy can give them lots of excitement and exercise. Just be sure to supervise play and replace the toy if it becomes damaged or unsafe for your cat to play with.
9. Water play: Some cats enjoy playing in water, so try providing them with a shallow tray of water or a small water fountain to play with. Just be sure to supervise play and provide a clean and safe environment for your cat to play in.
10. Cat trees and scratching posts: Cats have a natural instinct to climb and scratch, so providing them with a cat tree or scratching post can provide them with a healthy outlet for these behaviours. This can also help to protect your furniture and carpets from damage.

Playing games with your cat can be a fun and rewarding experience for you and your feline friend. Whether you're playing laser pointer chase or providing your cat with a puzzle toy, there are many games you can try to provide your cat with exercise, mental stimulation, and an opportunity to bond with you.