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There are 15 fish in total that you'll need to catch for this trophy, 9 of which are required for the Fisherman's Gambit side quest and 1 which is required for a story-related quest. Note that you'll need to progress the story into Part Two for the last 4 Fisherman's Gambit quests. For the most part, you'll be catching the majority of these in Seafront, but there are a few that will take you to Northern Plains, Eastern Road, and the Desert. There are 3 "rare" fish that are a bit of a pain in the rump to catch, but it's nothing that should take you a terrible amount of time. 

You can catch a fish two different ways, both of which don't really follow the instructions given to you in the game. When you cast your line, you need to wait for the bobber to be pulled under water (save for the Blue Marlin, see below) and then yank it back to snag the fish, then basically tug-o-war it. To pull the line, you will need to either press  or just pull back on the . Using just the  is easiest with all the fish except of course for the Blue Marlin (again, see below). Once you have the fish, you need to pull  in the opposite direction the fish is trying to swim towards, but while always pulling back on  and making small adjustments left and right until you find the sweet spot, rather than going all the way to the left/right. Your controller will vibrate heavily when you're in the right spot and the progress bar on the bottom of the screen will turn a dark blue. The fish will be constantly moving around so make sure that you're paying attention to your controller's vibrations. While you might think you're pulling in the opposite direction based on visuals, you might not be according to the game's standards, so just pay attention to your controller. If you deplete the bar on the bottom, you'll catch the fish. If you can't find the sweet spot in time, your fish will swim off with the bait and you'll need to try again. 

All of the baits can be purchased from the tackle shop in Seafront. The Sardine and Carp will be available for purchase from the fish vendor after you've caught each of them once. 

The 10 Fish you'll be catching for the Quests are as follows (including their location and bait):

Out of this entire list, the Blue Marlin and Hyneria will give you the most trouble, but with the emphasis being on the Blue Marlin. The issue with the Hyneria is that it might take a few attempts for it to actually appear, then the progress bar for it is so slow to deplete compared to the other fish, so just be prepared to sit there for a while trying to reel it in. The Blue Marlin, however, is a pain in the ass. This is the only fish that you can't wait for your bobber to go under the water to catch. While fishing in Seafront, you'll notice that with the other fish, the nibbles are small and only vibrate the controller a small amount. With the Blue Marlin, you'll get one nibble and one nibble only, and it'll be an aggressive one that vibrates your controller much harder than the others. When this happens, immediately start reeling in your line. If you wait for a second nibble, it'll be too late and the Marlin will swim off with the bait. It'll take a few tries, but once you have them hooked on the line, reeling them in won't be too bad. 

The remaining 5 non-quests related fish are as follows:

The first 3 of these will be pretty easy to catch, but the last 2 will give you a run for your money, especially the Dunkleosteus. For the Rhizodont, it's really just a matter of having a lot of patience. You'll be catching a lot of junk and a few Hynerias while going for this one, but once you have one hooked, the time required to reel it in will be upwards to about 1.5-2 minutes, so prepare your thumbs for a good fight. You'll know when you've caught one as the first two nibbles will be as normal, but then the 3rd nibble will be delayed a bit. The sweet spot for your reel is very unforgiving with this fish, so make small adjustments as needed until you find it. 

For the Dunkleosteus, this is by far the most rare fish in the game. You'll know when it's biting as it'll nibble the bait 3 times in quick succession. When you have it hooked, the progress bar will be painfully slow to deplete. Just make sure you're making small adjustments so you can easily find the sweet spot again should you lose it. You'll be fighting this bastard for upwards of 2 minutes, so do your best to not lose it, eh?

Once you've caught all 15 fish available in the game, the trophy will unlock. Fishing can be a great alternative to making quick gold if you're short on funds for anything, so there's a chance you'll be revisiting this as you go for Man of Means .