In this order:
1. The Ramones - They started it all for god sakes!
2. Screeching Weasel - Went strong for 15 years carrying the torch. Major influence of Blink182
3. Rancid - Borderline ska feel they can still be included in this category.
4. NoFX - They have been going at this forever.
5. Operation Ivy - Only lasted 2 years but rewrote the book.
6. Green Day - Dookie and before
7. Bad Religon - helped start it all.
8. Vandals - Helped start it all.
9. Blink182 - Dude Ranch and before
10. The Queers - At least one New England band needs to be represented.
What's the definition of punk-pop bands? I think a lot of those bands you listed would be much more along the lines of classic punk.
In general, good list though. I would have a tough time ranking them, but a couple others I would put in there would be Goldfinger (good call IP), Mr. T Experience (who IMO were one of the real "Pop-Punk" bands like Green-Day and Blink-182.
I also think you would need to put Nirvana in there as well.
I also take offense to the whole "Dookie and before" thing with Green Day. They had some excellent stuff after Dookie (although that is their best album).