To save time and hassle here are the pets I like and would likely trade for:
Daisy
Figaro
Lati
Lorius
Quell (especially anime)
Rofling (duh )
Sindi
Snookle
Tasi
Viotto
Vixen

However if you have a pet that's not one of those listed still feel free to offer. Those are the main spieces I like but there are still individual colours of other spieces I like

Also feel free to offer as many times as you like (just not using the same pet )