Why are you trying to avoid consoles and games? There are actually many benefits of video games in child development - including hand-eye coordination, lateral thinking and social skills. Obviously they're not all appropriate for 6 year olds, but that's no different to any other medium, such as books or movies, and as a parent you'll already be used to filtering out the ones that aren't appropriate.
If they're going to get into video games sooner or later, it would be best done with your involvement, supervision and discipline - not to mention that playing games with your child is going to give them some great memories to grow up with.
You'd be best off taking an active approach to this, as in doing some research to learn about the different types of games and how they are played, so that you can actually hold conversations about them and it doesn't just sound like gibberish when other people are talking about them, at least just so that when your child says "I want this game" you can evaluate it and understand whether it's suitable for them, how it's similar or dissimilar to other games they've played, and what they will get out of it.
So with all that said, here are some specific recommendations - you can either get a standard Switch or a Switch Lite. The standard Switch works as a handheld console but can be easily plugged into a dock to charge and play on the TV, while the controller's on the side detach and can be used as either one normal controller or two little controllers. The Switch Lite is cheaper but doesn't connect to the TV - so handheld only, without detachable controllers.
A standard Switch would be better for playing together on the TV, while the Switch Lite would be better for one person playing on their own - you can still play multiplayer games, but you'd need extra controllers and you're limited to the small screen.
As for games, you can't go wrong with anything Mario - Mario Odyssey might be a bit advanced for a 6 year old, but there is an assist mode that might help, and then they'd be able to play it on normal difficulty when they're older - and at any rate they'd enjoy the visuals and could watch dad play it. Then there's New Super Mario Bros U Deluxe, which is more like old school 2D platforming Mario, which they might find easier, and of course Mario Kart, which is a racing game that's fun for the whole family. I'd also recommend Yoshi's Crafted World, which is a lovely game where you play as Yoshi (Mario's dinosaur) but everything is made out of felt and card and it can be played by 1-4 players cooperatively, so great for the family to play together. There's also Kirby: Star Allies, Splatoon 2, Rayman, Yooka-Laylee, Crash Bandicoot, Spyro, Unravel, Sonic games, lots of Lego games (Star Wars, Harry Potter, Incredibles, Marvel, which are also co-op), Tetris, Snipperclips and other puzzle games, and things like Paw Patrol. So lots that are suitable for a 6 year old, and lots that you can get actively involved in.