foil wrap is a thin film of plastic that is shrunk onto MDF doors, usually ones that have had a moulded decorative shape on them, because the film stretches over to fit. It is inclined to peel off from heat or moisture, for example if your kitchen contains an oven, hob, kettle, sink or toaster. Sometimes it even starts peeling in the showroom. Some people like it and say its's great.
Slab doors are usually finished with melamine laminate, which is very hard, like a worktop. They are always flat because it's a hard rigid sheet. it can be very glossy, or matt or textured, or with an imitation wood effect. AFAIK it is the most durable, but not everybody likes flat doors. IMO you should make sure the edges of thedoors have the same laminate on them (this can be done at the factory) in the thick grade as opinions differ about the durability of thin or PVC edging.
Painted doors can be MDF or solid timber. With wear they may become shabby. Some people repaint them. Opinions differ, for example when I look at the modest price of replacement doors from a trade supplier I can't see the point.
Solid wood doors can look (and be) expensive. In time they may become shabby, especially if you do not have, and use, an effective extractor because a film of greasy dirt will accumulate, especially near the cooking area, and a waxed or varnished finish is not as hard and easy to clean as the alternatives. They often have panels and mouldings and it is very difficult to clean the joints. However fashions change so by the time they are shabby they will be out of fashion and you will probably be fed up with them. It is risky to think that an expensive kitchen is a 20-year investment.