Alright, marked em down.
I'm willing to hold off on a fuller debate on the shipwright until we get to the units, but what was wrong with Stable? Do you see it as more of a symbolic than an actual building? Since that's what I figured the trainer/stable distinction was; trainers representing the domestication of these animals in the abstract and stables the actual physical infrastructure (placed in the appropriate infrastructure, of course, hence the trading post) for these animals and their riders to rest and train in. It also shows that the earliest applications of these creatures were as beasts of burden for Chacolithic trade, not the later Bronze Age usage of them in warfare.
Anyway;
Ball Court: Requires Bricks AND Rubber. Bricks are for the court itself, Rubber is what the balls are made of.
Barbwire Fence: Requires Steel. Don't think I need to explain this one, unless some folks have suggestions for alternative materials.
Barracks: Requires Bricks AND Furniture. I'm willing to drop the Bricks requirement for an implicit lumber with Furniture, but you are going to need some place for the men to sleep, after all.
Basketball Court: Requires Lumber AND Nets AND Rubber AND Steel. Like a more modern ball court, the lumber's for the court itself, the rubber for the balls and steel and nets is the hoop. Alternate materials are, as always, welcome; concrete as an OR material, for example.
Basketweaver's Hut: Requires Storage Pit OR Barter Post OR Trading Post. One of the Prehistoric buildings.
Bath House: Requires Bricks OR Concrete OR Marble OR Stone. A similar edit to that done to the Aqueduct, as cement is a seperate resource under my plan.
Battlebot Arena: Requires Bricks AND Computers AND Glassware AND Parts. Bricks are for the physical structure (willing to have it as an OR require with Concrete, but lumber is probably too dangerous), glassware is all but mandatory for such a dangerous event to keep the bots away from the spectators, and the computers and parts go for the bots themselves, as any prospective robot resources would likely come too late for usage in this building's requirements.
Bioenhancement Center: Requires Computers AND Glassware AND Bricks OR Concrete. The first is the enhancements themselves, the last three are just requisite modern building materials. Willing to having this one under an unusual Garrison OR Laboratory OR Offices OR Shopping District requirement if preferred.
Boatyard: Requires Lumber. Don't need much else for the kind of Egyptian barges this building's pumping out, and even using plant fibres you need solid lumber for the dock itself. Willing to OR to Prime Timber.
Bomb Shelters: Requires Concrete.
Bombard Tower: Requires Cannon.
Boneworker's Hut: Requires Storage Pit OR Barter Post OR Trading Post.
Booby Traps: Requires Ammunition AND Parts and doesn't go obsolete. They're still in usage today, after all, and the basic concept is easily scalable to galactic-level warfare. Decided to drop the Factory requirement as African guerillas seem to make them quite easily without an industrial base.
Boondocks: Requires Furniture AND Concrete OR Lumber OR Steel. Just the various types of things you can build shacks out of, really. I'm thinking of the neighbourhood in the Goonies mixed with the sort of places Cletus and Willie from the Simpsons live in.
Bowling Alley: Requires Chemicals AND Furniture AND Glassware AND Lumber. Chemicals, for future reference, usually refers to plastics in my plan, and I don't really see a need for a seperate plastics resource. Furniture is for the seating and some of the equipment, glassware is standard issue for Modern and lumber is for the lanes themselves, though I'm willing to take Steel as an OR.
Brahmin Library: Requires School of Scribes. This one is per suggestion from DH, so thanks to him from this front.
Brick Mason: Requires Common Clay OR Fine Clay OR Limestone OR Obsidian OR Stone. This is going to be an extremely important building, so I might as well cover all the bases (no pun intended).
Broadcast Tower: Requires Steel AND Copper Wires OR Fiber Optic Cables.
Bronzesmith: Gives Bronze Equipment. Part of my units plan; willing to hold this one till later.
Bunker: Requires Concrete.
Bus Station: Requires Automobiles AND Biofuels OR Oil Products.
And in a new city I generally can not afford to spend the 5-10 turns to build a B or T Post in it's early development especially border and frontier cities. 
