He wants a pared down 5e, not the actual old school editions (which are available in PDF from DrivethruRPG.com).
Their are two simplified 5e sets I know of. One is the free Intro PDF from Wizards of the Coast. It greatly distills the game, offering only basic classes (cleric, fighter, wizard, rogue) and classic races (dwarf, elf, halfling, human) and a limited spell list. Almost no advice is offered for DMs, and only basic monster stats are included.
The other is the D&D boxed Starter Set, which includes an adventure, pregenerated PCs, and dice. $20 USD from almost any retail source.
It's not perfect, but having used 5e now for D&D programs for teens at the local library where I work, I've found it to be a decent update of the game, with some additions I like (including "finesse" weapons which allow Dexterity to be the bonus stat for combat rather than Strength), and virtually chart-free combat.
I'm less enamored of the constant adding of "special abilities" at nearly every level increase-- being better in combat was reward enough back in the day-- but the kids love that aspect, so what do I know? 
