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.
Blast 500 Line bonuses.
Unlock all buildings for your village.
Unlock all bonus mini-games.
Have 5 Cross bonuses on the board at one time.
Complete all levels in the Research Lab game.
Complete 4 Wonders in the minimum amount of levels required.
Unlock 5 bonus mini-games.
Complete all levels in the Diamond Domino Mine game.
Relocate any building or decoration to another location.
Populate your village with 5 trees.
Complete a Wonder in exactly 7 levels.
Earn 4 Extra Power-ups.
Collect 15 coins in the game.
Collect the maximum amount of resources in a level.
Complete a Wonder with a 4-Star rating.
Complete a Wonder without using a shuffle.
Complete the first Wonder.
Construct the first building in your village.
Match the Time Bonus.