I don't disqualify the Shrike as a delta because it has a tail, but because the root chord of the wing is too short in relation to the tip chord to give it the high alpha delta characteristics (due to vortex flow). If you get a bit slow with the Shrike, and get the nose up too high, it will stall and spin just like a straight wing aircraft. (Experience talking
) Deltas just sink when you do that.
An example of a true delta with a tail is the A-4 Skyhawk, and another is the Northstar. I'm sure you guys can come up with others.