You can get all of the achievements for this game in the DLC (18+) version of the game, which you can download here after buying the base game. All achievement descriptions are based on the DLC version.

While playing, you only need 1 star in each level to progress, which you are all but guaranteed to get, so just make matches quickly and don't worry about strategy or points. You can get all the achievements in 30-45 minutes if playing for speed and not pleasure.

Start the game.

Click the "CUTE Mode ON" option in the main menu, or the blank option in the base game.

There is an achievement for starting each of the 19 levels under the "Game" menu option. These don't always trigger when you click "Next" after finishing a level, so I suggest plaything through the game by clicking "OK" at the end of each level and then selecting the next level from the menu. If you have already played through the levels, select the ones you haven't earned achievements for from the menu, and click "Quit" from the pause menu as soon as you can. I have put them in order above.

Select "Nude Girls" in the DLC game menu.

Start levels 6, 9, and 10 in the DLC Game.

If you don't earn all the Steam trading cards from playing the game (I know I didn't), just boot up the game, select Windowed mode, and move the window so that all you can see is the white line at the top, and let the game run for 60-90 minutes, or until you get all 4 card drops.