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