Having pets is something, I believe, Red51 is highly eager in doing. I could be wrong, yet I believe he wanted to give us something overly basic to buddy us up with, or it just might be my bias in wanting some NPC companions to join us overriding whatever Red51 said. Every command would be kept RPG basic (think those old Pokemon type games, or 'Timber & Stone' AI logic). It be neat with what you're mentioning as it would allow your pet & human companions wander around on their own. I would love to tame an arctic fox to be my cute little pet. Maybe even finding the odd items in the scenery handing it to you, or yelping to gain your attention to certain 'attractive' points of interest, if Red51 allows it in his coding.
Animal hearding & breeding is planned, yet struggling to reach because of biome & water updates holding everything back. We're going to eventually breed cows, pigs, and the like once dungeons end up being worked on to contain entities within structure points. The hostile entities in Dungeons need to be contained because entities currently can walk through walls, fences, and solid objects. Once that happens we'll likely see some little teasers of breeding & farming then. Maybe even getting a nice update just for it after that also. That be awesome.
As for riding & mounting we'll be getting horses & camels first (hoping for mountable moose & elephants), & boats. Vehicles, trains, and anything mechanized MUCH later down the line. Basic first, complex later. We'll be able to customize the horses with various accessories, armour, and such, or so was the plan. Similar with the camel. We're however waiting on the player models & animations to get these horses & camels in the game. Likewise with boats. Just waiting on the player models & animations. I really need a horse & boat entity to travel this vast world. I wish I knew what type of boat it was, yet I guess Red51 fears me harassing him some more 
I'm sure there was a cooking update also, just that slipped away with the priority of water & biomes. We needed more biomes to be entertained with so that may come along with the 'cooking table' you speak of. The ability to make cooked potatoes, pizza, sushi, poutine, coffee, tea, and all sorts of goodies. I would welcome a table just for food types though, even a kitchen decorative type. Something immersive. Would also love the detailed take into 'butter churners', among many others. Whatever furniture you need to cooking would be much welcomed to encourage people to make buildings for them, and such. Factories, and the like.
If you're curious, fishing is also on the way while being tied with the player model & animations update. I can't wait for that. That's going to be a big one with horses, boats, fishing, & such, or from the way it was mentioned.