I dare say I might have everyone beat.
I own:
- a liquor decanter in the form of a bust of Spock in TMP uniform
- two (empty) TNG Oreo boxes
- two (empty) TMP Happy Meal boxes
- a Cabbage Patch Vulcan (in uniform)
- a complete set of draft scripts and callsheets from the Voyager episode "Riddles"
- several Trek collector plates and mugs
- a set of Burger King Star Wars glasses
- a set of Burger King Empire Strikes Back glasses
- and the obligatory costumes: TOS (red), TNG (red, one-piece spandex from S1) and DS9 (gold)
For non-science fiction geekiness, I have several Queer As Folk items: two shirts that were worn by Peter Paige as Emmett, one Kinnetik t-shirt (the ad agency that Brian started), several storyboards for the "Rage" comic book that Justin and Michael created, and the mockup of the "Rage" movie poster with Tom Cruise's name listed as the star of the movie, all seen on the show.
Not to mention, I have a huge collection of autographed photos of actors from all kinds of SF shows, including William Shatner, Leonard Nimoy and Patrick Stewart. (Edited to add: I also have an autographed photo of Robert Englund... in the role of Willie from "V".

)