This Seeking Tech guide will show you how to get the Cleared: Metal Slug 5 trophy from the PlayStation 4 version of Metal Slug Anthology.
To unlock this, you need to beat Metal Slug 5. You can make things easier by making sure that the Continues setting is set to Free Play.
You can find a video playthrough, along with the time stamps, below:
0:13 Mission #1
8:23 Mission #2
17:03 Mission #3
22:56 Mission #4
31:31 Final Boss