Not overly often. Glancing at my playstation, I've only platinumed Second Son, Dishonored, and Saints Row 4.
These are all single-player (putting aside the SR4 co-op option), and generally free of some weird challenge mode/arena/doohickey (like First Light had, or I'd have that one too probably) that exists only to facilitate trophies. While they do all have some form of collectible hunting, they mostly serve to enhance gameplay directly, they aren't just a cosmetic thing.
My next closes is Destiny apparently, missing one trophy for doing the awful Salvage PvP mode no one plays 10 times or so. Didn't check the Taken King ones, since my ingame thing is glitched for those, I'd guess the trophies are equally buggered.
These are all single-player (putting aside the SR4 co-op option), and generally free of some weird challenge mode/arena/doohickey (like First Light had, or I'd have that one too probably) that exists only to facilitate trophies. While they do all have some form of collectible hunting, they mostly serve to enhance gameplay directly, they aren't just a cosmetic thing.
My next closes is Destiny apparently, missing one trophy for doing the awful Salvage PvP mode no one plays 10 times or so. Didn't check the Taken King ones, since my ingame thing is glitched for those, I'd guess the trophies are equally buggered.