Here is the full list of all 26 7 Wonders: Ancient Alien Makeover achievements. It takes around 6-8 hours to unlock all of the achievements on Windows.
Complete a Wonder with a 4-Star rating.
Complete a Wonder without using an Extra Power-up.
Complete a Wonder without using a shuffle.
Complete the first Wonder.
Match the Time Bonus.
Construct the first building in your village.
Complete a Wonder in exactly 7 levels.
Complete all Wonders with a 4-Star rating.
Unlock all bonus mini-games.
Complete 4 Wonders in the minimum amount of levels required.
Unlock all buildings for your village.
Complete all Wonders.
Complete all Wonders on any timed difficulty mode.
Blast 300 Cross bonuses.
Blast 500 Line bonuses.
Blast 400 Wormhole bonuses.
Collect 15 coins in the game.
Complete all levels in the Diamond Domino Mine game.
Earn 4 Extra Power-ups.
Have 5 Cross bonuses on the board at one time.
Collect the maximum amount of resources in a level.
Complete all Wonders with no time outs.
Unlock 5 bonus mini-games.
Relocate any building or decoration to another location.
Complete all levels in the Research Lab game.
Populate your village with 5 trees.