I think one of my favourite things about Astro is how it is steeped in Playstation history.
This is something Nintendo really gets right, have no idea if Xbox do it, but its never been something Sony have focused on. I loved all the constant references, from clouds in the shape of dusalshocks and ps1's, to bots dressed as just about every PS character you can imagine, to more subtle things like pavement stones in the shape of PS1 controller ports.
As someone who has been all in on Playstation since PS1, I really got a kick out of all this Playstation fan service. IMO its a big improvement over 'generic future world with little robots'
Nintendo do it incredibly well! They manage to evoke that nostalgia with so many games but also mini games, mini gadgets (game & watch), merchandise (amibos)
Xbox obviously has a much shorter history and it's lack of first party studios until this point doesn't help. They did do Rare Replay and have done a few other bits but not enough. With Perfect Dark, Gears, Halo, Forza, Viva Pinata, Banjo Kazooie, Fable, Ori, Killer Instinct - they do actually have some decent IP and characters to play with.
Agree on Astrobot. So many great references. I actually think PlayStation could do this a lot better though and hopefully Astro is the start of that. I must be one of the 10 people who bought PlayStation All Stars (their version of Smash) on the Vita. It didn't take off but I was convinced they were onto something and hoped we'd see a kart racer follow.