So what did you guys get? I'll create a list here:
Keep in mind that games have limited "stock" - meaning that you might get duplicates of a different game even if you don't own a game. Games with bold are suspected to be out of stock. Stocks get refreshed regularly (12-18 hours?). The third and last round is currently active. The third round contains both previous rounds and extra games.

Third Round extras:
Amnesia: A Machine for Pigs
Avernum 2: Crystal Souls
Banner saga
Blackguards Special Edition
Expeditions: Conquistador
Gurumin: A Monstrous Adventure
Metrocide
Pier Solar and the Great Architects
Rogue Legacy
The Last Tinker: City Of Colors

Second Round:
Amnesia: The Dark Descent
Banished
Blackwell Epiphany, The
Consortium: The Master Edition
Dark Eye - Chains of Satinav
Deponia 3: Goodbye Deponia
Desktop Dungeons Enhanced Edition
Driftmoon
Eschalon: Book III
Hot Tin Roof: The Cat That Wore a Fedora
Inquisitor
La-Mulana
Lichdom: Battlemage
Quest for Infamy
Redshirt
Shadowgate
Shadowrun Dragonfall Director's Cut
Sir, You are Being Hunted.
Steamworld Dig
Sword of the Stars: The Pit: Gold Edition
Tesla Effect: A Tex Murphy Adventure
The Book of Unwritten Tales
Torchlight
Unrest
Unrest Special Edition

PS: Looks like Unrest is twice present in the pinatas. As normal and as Special edition.

Republique, Dreamfall and The Last Federation seem to go out the fastest.
First Round:
1954 Alkatraz
Aarklash: Legacy
Blackwell Bundle
Dreamfall Chapters - Season Pass
Dust: An Elysian Tail
Eador Masters of the Broken World
FTL
Gods Will Be Watching Special Edition
Guacamelee
Halfway
Jazzpunk.
Legend of Grimrock
Lumino City
Machinarium Collector's Edition
Outlast
Randal's Monday
Republique (Standard Edition)
Shadow Warrior 2013
Shadowrun Returns
Shelter
Spelunky
Terraria
The Book Of Unwritten Tales: The Critter Chronicles
The Last Federation
Volgarr the Viking

Republique, Lumino City and Randal's Monday here

It seems that my credit card is no longer refused, so I bought a Pinata as a gift just for the heck of it and I was able to get The Last Federation.

Machinarium Collector's Edition

Got Shadowrun Returns, Republique and Halfway.

Eador Master of the broken world,
Jazzpunk,
Dreamfall chapters, seasonpass,
lumino city

1954 Alcatraz

I think I'll do a few more runs.

I got AARKLASH: LEGACY.

It seems there are some really nice games here, so yea, I'm also tempted to do the same.

Shelter

Aarklash: Legacy
Shadow Warrior (2013)

Add Spelunky to the list.

Got "Gods will be watching: Special Edition"

You lucky sob. That's a steal for the price.

That game will be mine some day, though I have the worst luck with RNGesus :P

Terraria over here.