For a more "serious" discussion then the "Facts..." thread.
How does he stack up compared to the other engineers we've seen like Scott, LaForge, Torres, O'Brien?
Tell me your honest opinion (hate or love) but don't just say, "I love him because he is awesome!" or, "I hate him because he sucks!" Give me some empirical examples of why he is good or bad as a chief engineer.
Let's take a look at his record:
Fight or Flight: repairs alien communications technology.
Unexpected: repairs alien warp drive (yeah, it didn't last, but he accomplished more than the chief engineer on the Xyrillian ship).
The Andorian Incident: repaired a radio the Vulcans couldn't fix themselves.
Fusion: Helped repair the Vulcans' ship.
Oasis: Worked on repairing an alien holographic projector.
Shockwave II: Fakes a warp core breach aboard Enterprise while the ship was occupied by Suliban.
The Communicator: Repaired the cloak on the Suliban shuttle.
Precious Cargo: repairs the stasis unit bearing the "princess."
The Catwalk: Figures out a way to save the crew from the radiation wave front and sets up a remote "bridge" and other facilities in the catwalk on a few hours' notice.
Dawn: Jury-rigged a communicator using Enterprise and alien technology to get rescued before the sun rose.
Canamar: Rigged the ship so the bad guys wouldn't get away right under the nose of one of the "hijackers."
First Flight: Figured out what the problem was with the warp engine.
Similitude: Trip figures a way to law the NX-01 go at warp 5 for longer periods. His clone -- benefiting from Trip's knowledge -- figures out a way to save the ship from the magnetic asteroid field.
Damage: Trip figures out a way to fit an alien warp core into the Enterprise engine. In succeeding days, he manages to keep the ship running despite casualties and injuries among his engineers.
Deadalus: He realizes there is something suspicious about the "test" Dr. Daedalus is working on.
Romulan arc: He's able to analyze the machinery in the probe. In
"The Aenar" he works with T'Pol and Phlox to build an ESP machine.
In a Mirror Darkly I/II: He figures out how to tie the Suliban cloaking technology into the ship's systems. He also is able to figure some of the technology aboard the Defiant and quickly reverses the damage done by Phlox.
Terra Prime: He MacGyvers his way out of a locked cargo bay, and undermines the bad guys by messing with their weapon right under their noses.
Seems to me to be a pretty respectable record.