Recently caught:
Rex
a couple of Trikes
a couple of Raptors
Three argentavis (One had died due to a misfortune while trying to capture a direbear
Direbear (we named her the bird slayer >>)
Turtle
Pteranodon
Two "Fatties" as Britt likes to call them >>

Caught a Terror Bird named it Pinky to Brandon's distress
Caught a Scorpion named him Quartz he is level 47 the highest level of all our dinos
Brandon's been killing deer for pelt so we can hunt down the largest bird in game. Need the pelt for winter gear

Also UPDATES! 1.5 gig patch bringing THIS:
https://youtu.be/1nQDec_x5f0

Patch Notes:

The Megapithecus makes their debut in ARK: Survival Evolved as players can now face off the mighty beast and it's army of giant apes and monkey minions in their epic snowy-mountain lair.

Patch 240 also introduces the ever-so-friendly, team-player, Lystrosaurus, which can be pet to temporarily enable an xp-gaining buff around it, the frightening Arthropluera, a giant and ridable centipede possessing a devastating acid-spit and the high-quality, blood-draining, "Prime Fish" Sabertooth Salmon and an interesting and exciting new form of combat with the primitive Bolas!



—
IF YOU WERE AFRAID OF THE WATER BEFORE WEEP NOW!

We caught like three Lystrosauruses, but unfortunately the Arthropluera only lives in caves, and we aren't prepared for that yet =(


We still need to get a Quetzal first, but when we went hunting for one, we lost it when two more showed up. 

Okay, its been a while so…

Update as of 6/5/2016:

Attempted to solo capture a Quetzal, and that only led to me nearly dying :P
Captured two more Rexs, a Gigantopithecus, a Croc, a Spino, two Terror Birds, a Mammoth, a couple more Arges which have been useful in ferrying the huge amounts of metal I've been getting from the mountains and some Scorpions.

Made my own base near the snow biome and have nearly every armor in the game, just missing the scuba and riot I think.

And finally killed an Alpha Raptor! :D

I still need to actually start playing that silly thing, lol.

-rolls-
I caught a terror bird… named him Bird Jesus
I had accidentally shot him with stone arrows xD so I dropped a dodo in there to feed him… the damn thing lived!

so I captured the dodo and named him little Jesus.

Working on building up a boat from the raft, (pretty difficult at the moment >>)
Also want a friggin' Diplodocus and later on a Titanosaur, though I doubt I will get the latter by myself lol