I know most of them, just not the context, ergo. If one is for a specific type of building. So, does anyone want to list them out for me?

:D
Thanks a ton.
SinisterT.

addition to a building zouchiku
body-building bodi-biru
body building bodibiru
bridge building kakyou, kakehashi, hashiwatashi
building tatemono, eizou, tou, kasetsu, kenzou, kaoku
building (abbr) biru
building a nest eisou
building fire at distance toobi
building lot takuchi
building maintenance birumentenansu
building material kenzai
building plot fushinba
building rice-field ridges unedate
building work shuuei
closing of a building heikan
destruction by fire (building) enjou
Diet building gijidou
Empire State Building enpaiasute-tobiru
entire building zenkan
government office building chousha
hexagonal building rokkakudou
high decorated building garou
intelligent building suma-tobiru
intelligent building (abbr) interijentobiru
lofty (high) building kourou
main building hon’ya, honkan
main temple building chuudou, hondou
money building (abbr) mane-biru
multistoried building roukaku
new building shinchiku
one building (hall ichidou
outbuilding betsumune
palatial building dendou
personnel (of public building) kan’in
rebuilding saikenchiku, saiken
rebuilding (temple or shrine) saikon
school (building) gakusha
school building kousha
separate building betsudou, betsumune
shipbuilding zousen
shrine building den’u
smart building suma-tobiru
soars high (a building) tenwomasuru
station building ekisha
synthetic building material shinkenzai
tall (high rise) building kousoukenchiku, kousougenchiku
tall building daikaku, taikaku
temporary building karibushin, karigoshirae
the front of a building omotegamae
to run into (a building) hashirikomu

Also, it would have been nice if there was kanji since thats what the question was specific about, but thats a lot of words so I’ll allow it ;D

We need MOAR kanji captain! :D

How long did it take you to compile? Lordy.

建物
たてもの building
ビルディング building

本館
ほんかん main building

議事堂
ぎじどう Diet building

家屋
かおく house; building

館内
かんない in the building

校舎
こうしゃ school building

石材
せきざい (building) stone

建材
けんざい building material

二階建て
にかいだて two-storied building

建造
けんぞう building; construction

架設
かせつ construction; building

楼閣
ろうかく multistoried building

社屋
しゃおく company office building

殿堂
でんどう palace; palatial building

廃虚
はいきょ ruins; abandoned building

本堂
ほんどう main temple building; nave

庁舎
ちょうしゃ government office building

宅地
たくち building lot; residential land

新築
しんちく new building; new construction
ビル 1: (Abbreviation) building;
2: bill

別棟
べつむね separate building; outbuilding; outhouse

住宅
じゅうたく residence; housing; residential building

一堂
いちどう one building (hall, temple, shrine, room)

施工
せこう execution (building contract); carrying out

架橋
かきょう 1: bridge building; bridge;
2: cross-linking

改築
かいちく structural alteration of building; reconstruction

建立
こんりゅう (act of) building (temple, monument, etc.); erection

本屋
ほんや 1: bookstore; bookshop;
2: publisher;
3: main building

堂
どう 1: temple; shrine; hall;
2: prefix to building meaning “magnificent”

軒
のき 1: eaves;
2: narrow aisle surrounding the core of a temple building

撤収
てっしゅう withdrawal; evacuation (e.g. of soldiers); removal (e.g. of a building)

展開
てんかい 1: development; evolution; unfolding;
2: expansion; deployment; building up

棟
とう 1: large building; ()
2: counter for buildings, apartments, etc.

アパート 1: (Abbreviation) apartment building; apartment block; apartment house;
2: (Abbreviation) apartment

橋渡し
はしわたし bridge building; mediation; go-between; intermediary; (through the) good offices (of someone)

大黒柱
だいこくばしら 1: central pillar (of a building);
2: mainstay (e.g. of an economy); backbone (e.g. of a family); provider; main man

国会議事堂
こっかいぎじどう national parliament or congress building (e.g. National Diet (Japan), Capitol Hill (US), Houses of Parliament (UK), etc.)

回廊
かいろう corridor; gallery; hallway; cloister (i.e. covered walk typically circling a building or garden, esp. in a palace or place of worship)

炎上
えんじょう 1: blazing up;
2: destruction of a large building by fire;
3: flood of comments to a blog, exceeding what the blog’s owner can answer

階
かい 1: storey; story; floor;
2: (Noun) stairs; ()
3: stage (in chronostratigraphy); (ctr)
4: counter for storeys and floors of a building

作り
つくり 1: making; producing; manufacturing; building; construction; make; structure;
2: appearance (i.e. attire, make-up);
3: build (i.e. physique);
4: sashimi; (n-pref)
5: forced (smile, etc.)

構える
かまえる 1: to set up (e.g. a building);
2: to prepare in advance (e.g. a meal); to prepare to use something (e.g. a camera);
3: to plan; to scheme;
4: to fabricate in order to deceive;
5: to stiffen; to become formal

屋台
やたい 1: cart (esp. a food cart); stall; stand;
2: festival float; portable shrine dedicated to a god and shaped like a house; dancing platform;
3: stage prop fashioned after a large building;
4: (Abbreviation) framework (of a house, etc.);
5: (Archaism) house (esp. a small and miserable house)

表
おもて 1: surface;
2: face (i.e. the visible side of an object);
3: front (of a building, etc.); obverse side (i.e. “head”) of a coin;
4: outside; exterior;
5: appearance;
6: public;
7: first half (of an innings); top (of an inning);
8: cover (for tatami mats, etc.);
9: (Computer terminology) foreground

掛ける
かける 1: to hang (e.g. picture); to hoist (e.g. sail); to raise (e.g. flag);
2: to sit; ()
3: to be partway (verb); to begin (but not complete);
4: to take (time, money); to expend (money, time, etc.);
5: to make (a call);
6: to multiply;
7: to secure (e.g. lock);
8: to put on (glasses, etc.);
9: to cover;
10: to burden someone;
11: to apply (insurance);
12: to turn on (an engine, etc.); to set (a dial, an alarm clock, etc.);
13: to put an effect (spell, anaesthetic, etc.) on;
14: to hold an emotion for (pity, hope, etc.);
15: to bind;
16: to pour (or sprinkle, spray, etc.) onto;
17: to argue (in court); to deliberate (in a meeting); to present (e.g. idea to a conference, etc.);
18: to increase further;
19: to catch (in a trap, etc.);
20: to set atop;
21: to erect (a makeshift building);
22: to hold (a play, festival, etc.); (Auxillary verb)
23: (after -masu stem of verb) indicates (verb) is being directed to (someone)

http://jisho.org/kanji?rt=jap&reading=&mt=en&meaning=build&ct=strokes&code=&jy_only=on

Then for each one that looks interesting, you can search for words that use that kanji using the little “words” link in its row.

Another way of going about this is to search for the word “build” in an English-Japanese dictionary.

http://dictionary.goo.ne.jp/leaf/ej3/11794/m0u/build/

That will tell you how to say things like “build a house” and “build a fire.”