Same here, though no kids yet.

I bought the soundtrack on vinyl (by Tomáš Dvořák, aka Floex), then got a record player, aaaand ended up accumulating a ton of records since then.

I still play that record though, it never gets old.

The other game that we enjoyed in a very similar way is Primordia [1]. Named our first cat Crispin afterwards.

You will probably enjoy Boxville [2]; it's very much Machinarium-inspired. Its sequel, Boxville 2,came out recently, so there's more in store.

It's Ukrainian-made (Machinarium is Czech), so the devs share a gritty post-communist childhood to draw the inspiration from.

[1] https://primordia-game.com/log.html

[2] https://store.steampowered.com/developer/triomatica