Hi Rita,
Most all "hands-on" activities will require other materials, but just singing, dancing, exercising, and verbal games can be played without a mess.
We sit in the floor and play the old-school concentration game, where you sit Indian style in front of each other, and clap hands to lap, to each other, switching hands and movements I started with the pattern, hands, clap, lap, (clap your hands, high 5's both hands, clap your lap) and then add to the patterns to make to extend movements, go faster, slower, etc.
Also "I Spy" is fun, "I spy with my little eye- something (choose a color that you see)", and your child looks around for that object to guess what you've spied. Take turns.
We also played "Guess what I am" This is where you give clues, for example: "I can fly" your child might would guess, a bird, you continue with the next clue, "I have a engine", your child my guess an airplane, next clue " I can do this" and spin around with arms out, your child will probably guess a helicopter. Take turns, adding to the clues as you play to continue.
There is "Hot or Cold" where you can either site an object or hide an object, your child is to search for the object, you can say "warm, warmer or hot" as your child gets closer, "cool, cooler, cold, freezing" as your child is getting further away from the object.
Depending on age of child, there are many activities that you can do without materials, just be creative and figure ways to incorporate a learning lesson into the activity as you play.
Have fun!
Did you find this answer useful?