There are other parts like that, like the gear struts that are designed to bend and snap instead instead of puncture through the wings, or the centering mechanism on turbofan shafts that's intentionally designed to break off if a blade breaks and cause an imbalance (I think that's what you meant by a "fuse", or did you mean something that rips the engine off altogether? I had never heard of that one).
The "fuse" that holds the engine on the strut is a bolt or a pin that is weaker than the surrounding structure, so it will break first and the engine will fall free.
If the engine loses a fan blade, it will vibrate violently and it's probably better to lose the engine.
I don't know about the other two things you mention. Maybe it's a newer feature than my time :-/
> If the engine loses a fan blade, it will vibrate violently and it's probably better to lose the engine.
That's the idea with a fan blade loss, they didn't want to just drop an engine in that case so the centering mechanism on the turbine has an intentionally weaker part is designed to snap off to allow the spinning turbine to recenter itself as opposed to vibrating the whole structure off and causing more damage.
The gear thing is to prevent puncturing the fuel tanks in the wings on a hard landing. It's preferable to snap off the gear, otherwise leaking fuel has a good chance of it immediately igniting.