My group has been looking for a fast play simple set of WW2 rules. This is a tall order because of course WW2 combat was very complicated with many factors involved. I ran across a set of free rules on the internet from Pz8. They are to be found on the freewargamesrules wiki. One page front and back, they cover battalion level combat.
WW2 was all about fire and movement. For war game rules this means opportunity and defensive fire. The Pz8 rules simulate this simply with side A moves, then Side B fires. There is no mechanism for disappearing targets, but if you must have it, it can be added simply. When hit, targets can be disordered or suppressed. They can attempt to rally later in the turn.
Combat is similar to Spearhead in that way, d6 with attack and defense modifiers, except in this case, both side roll a d6 and add their respective modifiers. Personally I like this. Gives you a say in your own demise! In this photo you can see a few wrecked vehicles and an infantry stand in the open with a red marker for suppression.
There are no orders, which might be a problem for higher level games, but for our scenario which was one company US vs one depleted company German both with armor support, it worked well. In fact, I spent about 5 minutes on force preparation and the host had set up the table before I got there.
In our game the US company, one platoon in halftracks and two tanks were to cross the stream and take the village. German fire from the stream edge stopped the infantry, but the tanks were able to cross the stream at the bridge and ford, causing havoc. Eventually the US infantry was defeated due to poor tactics (mine) and no longer able to assault the village ad we called the game.
We had never seen the rules before this game, but it only took about 2 1/2 hours and was great fun. So if you want to take a break from the complexity and just roll some tanks around, I recommend it for a quick game.
I have made a new QRS and made some additions to the game for more realism. If you would like a copy - get in touch!