magic Eraser is only used to remove "ground in" sort of grime - if the playfield is mylared or clear-coated, then this is not done.
First clean (to remove grime) is with Novus No. 2 - a light polish, dry and buff is usually all that is needed to clean it, but a bit more elbow grease sometimes in really dirty areas. No. 2 does cut a little, but not much.
Macguires Canuda Gold wax in a tin is my preference for the final polish. It's hard, so you sort of scoop a bit onto a cotton rag, and start rubbing - in a few seconds it goes soft and start to leave itself behind. A really good going over, then leave to dry for 15 minutes. A ruff polish with a new cotton rag to start (removing the excess and at the same time it serves to flatten out), then with a new rag again, a final polish. As this stuff is a proper wax, you can repeat the last two steps as it will build up a little move with the second application and polish.
Things like Mill Wax aren't my preference, and a second application is useless - it contains a solvent that removes the first anyway.