1) Pigs - Make the order top to bottom (TTB): Capture - Feed - Rename - Nibble - Pet (Then when you don't need to Pet piggies, move it up.)
2) Butterflies - Order TTB: Set Free - Sing To - Name - Massage - Milk
3) Chickens - Order TTB: Set Free - Rename - Request Incubation - Squeeze
I think most of these have changed? The butterfly and chicken, have piggies changed?
Adding on:
Things that are in your slots
I've already mention Compacting as a skill. But fusing objects would also be nice, here's what I mean:
Say you have 2 Random Kindness Rainbows, Jars of Powder, or Potion Vials... Sometimes, you'll have some that are used up and you might have, say, 2 Fertilidusts, each with 2 uses, if you could just put them on top of one another and merge them, then lots of slots could be saved.
Expand this list! Bolding your ideas specifically would help.