The method by which Alice disposes of the zombie dogs (by throwing a flaming object into a gas filled kitchen) is similar to one of the numerous ways Jill Valentine defeats Nemesis in 'Resident Evil 3'.
The part when Alice is running in the building being shot at by helicopters and when she is being seized by the Umbrella guards and she drops her gun and catches it in mid-air and shoots them is taken from the beginning sequence of the game Resident Evil Code Veronica.
After the zombies have overwhelmed the RPD, the shot of them reflected in the visor of a discarded SWAT helmet is copied from the opening of Resident Evil 3.
During Alice and Nemesis' showdown, Nemesis wrenches a steel pipe off some nearby framework and batters Alice senseless with it. The exact same attack is used by the Birkin G-1 (another Nemesis like monster) against your character in 'Resident Evil 2'
When the first scientist was being evacuated by Umbrella's men in black, you can see on the background on her TV the commercial for "Umbrella's regenerate" commercial that was in the teaser trailer.