Your Phoenix looks like it is complete and not in bad shape at all! The cabinet needs work, but you can go either way. There are people on here who just take off the veneer and paint or refinish the wood underneath. Most people would actually put new veneer on the cabinet, stain, and refinish the whole cabinet. Veneer is not hard to do - you can even get veneer pre-glued. If you search for tutorials here, you will find lots of information on re-finishing cabinets and cleaning up the old machines. Good luck! And yes, there are lots of us who re-did cabinets in as bad or worse shape than yours!
Nancy