So the films depict Avada Kedavra as a kind of green bolt, but this isn't the case in the books. It is always described as a flash or jet of light:
–The Goblet of Fire, pg. 216
–The Goblet of Fire, pg. 638
What the 4th movie is trying to show with the light show is the Priori Incantatem, the connection between wands that occur when they share the same core and clash spells.
– The Goblet of Fire, pg. 663-664
– The Goblet of Fire, pg. 696-697
Normally, Avada Kedavra can't be blocked:
– The Goblet of Fire, pg. 216
Avada Kedavra also doesn't push a target, they simply fall lifeless:
–Half Blood Prince, chapter twenty-eight
Avada Kedavra, as shown with the Priori Incantatem, does produce some kind of heat. This is also shown in the battle with Dumbledore:
– Order of the Phoenix, pg. 717-718
Anytime someone "dodges" Avada Kedavra, it is always some form of aim-dodge or the person casting it didn't aim well:
–Order of the Phoenix, pg. 696
– Order of the Phoenix, pg. 717
– The Deathly Hallows, pg. 57
– The Deathly Hallows, pg. 60
– The Deathly Hallows, pg. 61
Or the wand just straight refuses to kill someone:
–The Deadly Hallows, pg. 743-744
-
With all this being said, I don't think Avada Kedavra quite meet the lightspeed standards, but most contradictions about it come from the movies not portraying the spell correctly.