I tried again with a different solder paste, but unfortunately it does not really look better?
I don't have a scalpel blade to try to remove some solder. The stencil was way more expensive than the actual PCB and therefore I would assume, that it actually works.
What's usually the thickness of the stencil? Maybe jlcpcb does not a good job in this regard?
Stencils are intended for precision application in multi-thousand-dollar paste printing machines. They were never intended for manual use. Chances are you
think you’re using it properly, but aren’t. (Using stencils manually is HARD. I was just talking about that the other day with a guy at work — a literal graybeard who started working in electronics before I was born — because of some difficulty he was having with getting clean paste prints for some components. And that’s with expensive European-made boards and stencils. It’s very hard to support a stencil properly when using them manually. They need high rigidity by being mounted into frames under high tension, not flopping around.)
Tiny parts with tiny pads simply leave no room for error. The tiniest slip and you get paste under the stencil, which raises it up and increases the amount of paste applied.
Honestly, the last picture there doesn’t look bad at all. But yes, if a larger package is available and PCB space allows, use it, as it will make your process more predictable and easier to inspect.
FYI, with JLCPBC stencils, the vast majority of the cost is shipping, due to the dimensions of a whole stencil. But you can apparently ask them to cut the stencil down to size for manual use, allowing it to be shipped in the box with your PCBs.