Question: Are there other ways to solve this misalignment problem?
Answer: Yes, but there’s no universal method that resolves every misalignment problem. For example, one can sometimes resquare the door in the frame by replacing select hinge screws with longer screws. The idea is for the longer screws to traverse through the door jamb to the king stud behind the wall. Tightening these screws can sometimes straighten the hinge jamb and lift (or lower) the latch plane.
Resquaring a frame is a bridge too far for many folk. But, if you do try it, be sure to purchase long screws that sit flush in the hinge. Otherwise the hinge won’t collapse properly. Also, consider pre-drilling your holes to avoid splitting the jamb.
If the misalignment is slight, you can try expanding the latch hole in the strike plate using either a metal file or a hand grinder. Keep in mind, however, that you can only expand the latch hole by by 1/8″ or so. If your misalignment is larger (or if your door sags further), this method won’t solve your problem.
Finally, the most common method used by do-it-yourselfers is to remove, realign and remount the strike plate on the door jamb. Though it doesn’t require an exceptionally-high level of skill, you’ll need a sharp chisel and you’ll need to be comfortable using it. In addition, you’ll need a hammer, wood filler, sandpaper, paint (to match the trim), a brush and the better part of an afternoon.
Chances are that you solve your door problem in more than one way. But, if you just want a functional door in three minutes with minimal hassle and expense, we’re your solution.