So, are there any Quentin Tarantino movies in which he did not act?
Quentin Tarantino appears in several movies he has written or directed but not in all.
Just some examples:
He's Mr. Brown in Reservoir Dogs and Jimmie in Pulp Fiction. On the other side he only narrates the story like in The Hateful Eight or doesn't appear at all like in Kill Bill Vol.1
As mentioned before, you can look up at IMDb in which movies Tarantino appeared as an actor and which movies has been written by himself.