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.
Have 5 Cross bonuses on the board at one time.
Complete all Wonders with a 4-Star rating.
Complete all Wonders with no time outs.
Blast 300 Cross bonuses.
Blast 400 Wormhole bonuses.
Complete all Wonders.
Complete all Wonders on any timed difficulty mode.
Unlock all buildings for your village.
Unlock all bonus mini-games.
Complete 4 Wonders in the minimum amount of levels required.
Blast 500 Line bonuses.
Complete all levels in the Research Lab game.
Complete a Wonder in exactly 7 levels.
Unlock 5 bonus mini-games.
Populate your village with 5 trees.
Relocate any building or decoration to another location.
Complete all levels in the Diamond Domino Mine game.
Earn 4 Extra Power-ups.
Collect 15 coins in the game.
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.
Construct the first building in your village.
Collect the maximum amount of resources in a level.
Match the Time Bonus.