As for redundancy, I'm a new diver and got most of my gear from personal thoughts, reading forums, and some other internet research mostly.
I have two 2nds stages (primary and octo) which provides one source of redundancy. Hopefully I'll never need the octo, but if I need it (or my buddy does) I'll have it.
I have two cutting devices, a knife secured to my BCD's left shoulder strap just above the pocket and a trilobite on my waist strap. Neither was expensive and they are both unobtrusive so having redundancy (if both designed for slightly different "primary cutting" purposes) seemed like a no-brain, especially when I couldn't initially decide which to get since both types seemed to be "championed" here by various divers.
I don't have a secondary air supply outside of my buddy currently. If I was planning on diving somewhere deep enough that I didn't feel I could likely do a CESA effectively (or not within DECO limits) then I'd probably want to have some training on, and carry, my own secondary air. Similarly, if I was diving solo (which I don't have the experience to do, though lacking a buddy when I have free time to dive does make doing so very very tempting), I'd surely have a redundant air supply just in case.
I don't have a redundant BC, I imagine I'd drop weight(s) if I couldn't get my buoyancy positive any other way.
I do have a spare light in my BCD, mainly because they were pretty cheap so I picked up two to decide which I liked better and decided to keep them both. I have a SMB, a whistle, and a signal mirror because I was told here, DAN, etc that they are good things to have for safety and that makes sense to me.
Loading my BCD pockets with a 6' SMB, finger reel for it, 2 dive lights (haven't decided on another way of carrying these when not in use at this point), whistle, and signal mirror leaves about 1/2 - 2/3rds of my pockets still empty.
I picked up a used SPG that had a dive computer on it, and have a wrist dive computer because I wanted a better one than that so I'll be diving with a spare computer, even if that initially wasn't the goal of buying that SPG. Seems good to have it though since the computer failing on a LOB trip seems like it would cause significant pains for enjoying the trip.
I'm taking a spare mask on my LOB trip, but mainly because I want to see if the gopro mount on the new mask I got works well for me filming without having to think about filming much.
I'm taking a snorkel on every dive still because that's what I was originally taught and as a new diver, if I'm doing surface swimming for any distance I'd rather be using a snorkel to breath with than use up my diving air if necessary. My SAC I'm sure isn't low enough at this point that I'd like to use up my air on "snorkeling depths".