We used an oil based paint on our cabinets over 7 years ago and have had no chipping. This was a quick fix to make the best of a kitchen that we weren't able to fully remodel at the time. We have two girls, 7 and 6, and they aren't exactly gently when it comes to slamming doors. We are just getting ready to start a full remodel, but if I needed to paint the cabinets again, I would feel comfortable with the durability. Now the color(s) we chose...that's a different story!

If you are painting your cabinets, you may have wear and tear...2 years, 5 years, who knows.
If you are purchasing cabinets it is going to come down to quality of cabinets. Some finishes are baked, some applied. Some companies even have you sign off on a painted finish order stating that you are aware of the "issues" associated with paint. Most common is the separation of the joints (expand and contract). Thermafoil, an MDF or engineered wood is away to go, but it's a look more suited for bathrooms.
Go with a company that has a lifetime warranty and make sure you understand the different paint finishes.

Woodharbor does a really nice painted finish. They make the doors especially for painting buy using wood rails and plywood or mdf center panel, depending on the door you choose. It's very stable and the finish is baked on and guaranteed for life. They will let you choose virtually any paint color, and it's price is comparable with Kraftmaid maybe a little more, but the quality is much better on those painted finishes.

This is why I bought my cabinets from a quality shop instead of building them. You cant apply a durable finish in the home. A baked on finish is the way to go. If the finish is a U/V cured / baked on catalized enamel, the durability will be the highest. My cabinets have that finish and dont look like plastic. Very tough stuff. They also gave me a touch up kit just in case...