Just Browsing Achievement in Halo: The Master Chief Collection

This achievement can be obtained quickly through Custom Games on your own at any point during your time on the game. In fact, this achievement is best paired when going for the "World Traveler" achievement. From the Main Menu, select the Multiplayer tab and head into a Halo 3 Custom Game lobby. From here, go ahead and select Slayer as the game type and then launch the match.

Once the match begins, pause the game and select “Quit.” This will count as a completed match on that particular game type which means all you need is repeat this simple process with three other Halo 3 game types (Capture the Flag, Oddball, King of the Hill, Territories). Once you have completed a match on four different game types, this achievement will unlock.