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