On Youtube, they have 'dance and freeze' playlists for playing musical statues, my ds loves those. (Child doesn't need to be near the screen, just able to hear it.) Also the children's yoga goes down well, he does need to see the screen for that, but you can join in too and even though a 2yo won't grasp it all, it's fun as based around books/films. Cosmic Kids, it's called. Does The Hungry Caterpillar and Frozen as well as Moana and several others. Also a (annoying but much enjoyed by ds) 'dance party'. Also Fun Song Factory is on Youtube, which mine like to 'join in with' by leaping about. It's super old, from when I was a child, but it keeps them involved and generally moving/singing despite being screen time. For easy listening, cbeebies have a radio on the ipayer app and mine loved rhyme slime from an early age.
We used cushions as cheap 'stepping stones' and pretended the floor was lava. He likes leaping from them and setting up different pathways over the 'lava'. Also an indoor assault course out of everyday stuff, string, sofa cushions, under table as a tunnel etc. Build a masking tape 'road' for his cars and suggest races. Set up a tent with your clothes horse, or similar, where he can sneak about and maybe have a 'picnic' lunch. Apple Cider Vinegar experiments - we use a cauldron from a dolls house at this time of year and call it a potion. While you drink tea/coffee, suggest he moves like the animals you name (eg. Frog, Octopus, Penguin, Lion, Monkey), he can add sounds. Do a 'car wash' with appropriate toy cars and the washing up bowl.
When I had no energy, I set up the kitchen full of newspaper and let him use hands and feet for painting. He'd rinse off in the washing up bowl (on floor) before being carried to the bath and usually play in there for a while too. That used to take up enough time for a cuppa and was much enjoyed.