As a sort of aside, the free basic rules for 5e just have the Champion Fighter, Life Cleric, Thief Rogue and Evoker Wizard, and you can run a perfectly good game using just those classes and the different backgrounds. For me, a STR-based fighter with the Acolyte background is thematically close enough to a Paladin, and a DEX-based fighter with the Outlander background is virtually (and some would say better than) a Ranger.
The Essentials set expands that to include the Eldritch Knight, Arcane Trickster, War Cleric and Illusionist (I think?) Wizard, and adds the Bard plus two subclasses. And again that seems like plenty to be getting on with.