I am having a little trouble responding to this because you've posted two completely different types of doors. And the solution for the first (white) is different that the types in the second set of sample doors.
The second set of door pictures are fairly common profiles and you might be able to find a match by looking through some catalogs, either online or in print catalogs. I don't think a bull nose will do what you want.
CMT, Sommerfeld, and a bunch of other companies you'll find online can send you catalogs of bits. There are thousands of different bits, and you might after searching, find one that matches.
However, bit sets are not cheap, and if you can't find a match, you might consider replacing all the doors with commercial or shop made doors. And you might also consider going to a cabinet shop in your area with the door you want to match. and seeing what they can do for you.
But I don't think it's going to be easy reproducing that profile with a router bit.
One last possibility to consider is to have someone, or yourself, make a hand plane iron to the profile, and hand plane enough stock to make a replacement door.
Short of good luck, and a thorough search, or even reproducing the profile to scale and sending copies to all the bit makers, I don't think there is an easy fix. Even if you matched the profile, you still have to match the finish, easier to say than do.
If I had that dilemma, knowing my wife would hound me constantly about the odd door, I'd replace the doors, all of them and be done with it. If you take that route, your bit set will set you back, but you'll also have to buy a fair amount of wood, which you'd have to plane flat and to thickness because big box material is never straight and flat enough to glue up properly, and or use ply for flat panels.
You'll also need jigs to the modern hinges, and forstner bits to drill to mount them. Another expense.
Not meaning to discourage you, but duplicating and matching the other doors is very likely to fail and you'll have a sore thumb door to live with for many years. Here's a site to price cabinet doors by size.
Hampton Bay Custom Unfinished Cabinet Door - The Home Depot