Are they soft-close hinges, or just normal hinges?

If they're normal, just get a cabinet door magnetic to hold it. Replacing the hinges themselves may or may not fix the problem, depending on how well you install them.

If they're soft-close, there's an adjustment screw on them that may help, or else they are faulty and require replacement.

Kinda depends on the hinges, and how the door is designed to rest within the box of the cabinet. Pics, as always, would help.

There might be hinge adjustments you can make, or you might be able to add a magnetic closure to the non-hinge size of the door.

If you could take a photo and upload it to like Imgur and drop the photo link here people will be able to better advise you :)

Is the door bowed out maybe? Old wooden cabinet doors will do that, especially in a high humidity situation like a bathroom.

They're standard hinges. I'll check on the magnets see if they have some generic type on amazon or home depot. That's a simple idea.

Added the pics to post.

No it's all mirrors on top and plastic on the inside- I can gently push it with my hand to close it and it'll align no issue. It doesn't remain closed all the way, it'll ajar about .25-.5" away.

That fifth screw on the hinge is the one you need to adjust, it changes the door closure angle.

I didn't check with a screw driver of any heft but it seems pretty tight. Let me try it and report back.

You are not looking for tight. Tight could be the reason it wont close all the way. Those screws change the angle of the door when its closed.

Something like this:

https://www.homedepot.com/p/Liberty-2-in-White-Heavy-Duty-Magnetic-Door-Catch-with-Strike-C080X0C-W-P/100149442

Cheap, simple and easy to install.

Are you even sure you have the right hinges? Euro hinges are available as inset (edge of side panel exposed, outer surface of door is flush with edge of side panel when closed), half overlap (side panel is shared by 2 cabinets, inner surface of door sits against side panel when closed, each door overlaps half of side panel), and full overlap (each cabinet has its own side panel, door overlaps whole side panel when closed), and they look pretty much the same.

Is there something (piece of sawdust?) pinched between the metal and the laminate, so the metal is at a slight angle? When magnified by the length of the door, this could result in a gap caused by the angle being more than the door closure adjusting screw can compensate for.

Replace the hinges.

I used these to keep the doors closed on my moms kitchen cabinets that had the same hinges as yours OP.

I have a similar issue, on my hinges there is a little plastic piece lining the arm that like to break off and cause this. Similar vintage house and hinge type.

I still haven’t been able to track down the make/model to even find out if the piece is serviceable or not. I’m using those little hard Velcro strips until enough break to warrant new hardware.

These are original to the house not something I installed. It could be that they have bent the plastic overtime and now the angle is wrong but that's as far as something behind them as it gets for me.

OH velcro is a doable idea too and I have white velcro dots which would work well.

I tried multiple depths and tight as possible, the looser they get the larger the opening.

There are 5 screws in the picture. Two in mounting the hinge it the cabinet and two mount the hinge to the door. The one in the middle is the one you need to adjust.

This looks like a "Blum 33.3600 Compact 33 Screw on 110 Degree Opening Face Frame Hinge". There are cheap to buy on Amazon (or other places) and easy to replace.

Replace the hinge with another euro-style hinge. I don't know that specific one, but on some euro hinges you can see the spring that closes the door. In your photo I don't see that hinge, so maybe it broke or simply wore out and get stretched so it doesn't close the door any more.

If you measure the screw spacing and the cup size you can probably just replace the hinge for a few bucks. A new hinge should have a more positive snap closed action to it.

Magnets are cheating but also easy.

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When my HVAC was upgraded they said to just pour half a cup of bleach down it twice a year.

Don't those hinges adjust? Hard to tell but generally there is a screw on the middle inside to adjust them. Take a look here

https://youtu.be/nPoN9h10YDY

If not, just replace the hinges. They're cheap enough to rule them out. Ive seen them get bent out of whack. Adding a magnet as Ive seen suggested is a waste of time/money. It's trying to accommodate something that doesn't work correctly to begin with.

100% this. I replaced all my old blum kitchen cabinet door hinges with new blum hinges when I painted them and all of the doors suddenly 'snapped' closed and stayed in that position. Replace all the hinges, you'll be happy that you did.

I have the same situation. Open a cupboard door, some small white plastic shards fall, now the door will not stay closed. Great design.

Yes, and they have a mechanism inside to hold the door closed that wears out. OP will be happy swapping them out and it is preferred over something like a magnet to hold the door closed.