Cool idea! I'm Estonian so here's my addition to this thread:

Drax - Draak
Dragon = draakon (or lohe, typically the winged one)
(i thought draak sounded cooler than draaks lol)

Altudrax - Altudraak

Canisqua - Koarakva
Dog = koer

Luputrix - Hunditriks
Lupus (wolf) = hunt

Unicubb - Üksikutsu
Uni (one) = üks
cub = kutsu (also means puppy, we dont really have a word for 'cub')

Ursufuzz - Karvkaru
Ursa (bear in Latin) = karu
karv means fur, close enough

Parrogrine - Papaglaim
Parrot = papagoi
Lime = laim

Bloomfer - Õitsur
Bloom = õitsema
Ferret = nuuskur

Felihene - Kaslafeen
Feline = kaslane

Mobath - Nahkoir
Bat = nahkhiir (direct translation: skin mouse)
Moth = koi

Antabir - Sipelgiir
Ant = sipelgas

Sunobra - Päikesobra
Sun = päike
Cobra = kobra

Veemooth - Muulehm
Direct translation: moo cow

Bovitaur - Rohärg
Bull = pull (also pull and sõnn)
Green = roheline

Rootax - Kollänguru
Yellow = kollane
Kangaroo = känguru

Fluffpaxa - Ebepako
Fluff = ebe? actually had to google translate that lol (fake estonian booo)
Alpaca - alpaka/pako

Velibolt - Välivälk
Swift = väle
Bolt = välk

Velox - Väloks

Velirex - Välireks

Indigoat - Indikits
Goat = kits

Sealott - Merilott
Sea = meri

Sawrotag - Saegaator
Saw = saag
Gator = gaator

Pentadile - Sinikrokk
Blue = sinine
Crocodile = krokodill

Pydeer - Helbhirv
(Snow)flake = (lume)helb, because his antlers look like snowflakes :D
Deer = hirv

Finngriff - Vikergreif
Rainbow = vikerkaar
Griffin/gryphon = greif

Noo-Long - Nuu-Lohe
Noodle - nuudel
Dragon - lohe

That's all the names I could come up with lol
Välivälk's totally my fav