Shafi-is-back I hope you don't mind but I pinched your workings to come up with my own cites structure based on your workings, that I will try and use during my games. I feel happiness and food are so important that I've included these buildings in all the cities. I'm not sure how much money all these buildings might cost in upkeep, but obviously you could do without some if your upkeep was too high.
-----------------------------------------------------------------
(1) Gold Cities
Terrain – lots of riverside tiles, Coastal cities
Resources- Luxury- Gold & Silver (mint), Gems +3
Improvements –Trading Posts, Farms , Mines
Buildings –
Gold-
Bank : + 25% Gold
Market : +25% Gold
Mint (If Silver and / or gold is present): +3 gold for worked silver or gold tile.
Stock exchange : +33% Gold
Food-
Colosseum : +4 happy
Stadium : +4 happy
Theatre : +4 happy
Circus : +3 happy (needs horse or ivory nearby)
Granary: +2 food
Hospital: 50% less food for growth
Medical lab: 25% less food for growth
Watermill: +2 food (city must bordering a river)
Wonders
The Colossus
Effects: +1.Gold.from.all.worked.water.tiles.Must.be.built.in.a.City.located.
along.a.Coast.
Great People Improvements
Customs House: +4 Gold
------------------------------------------------------------
(2) Military Production Cities
Terrain- Hills, Grassland, River Tiles(Food), 1 Dessert (Solar Plant). Also avoid building production cities on hills whenever possible to get the benefit of a windmill.
Resources- Any Strategic Resources +1 Production.
Improvements –Mines, Farms
Buildings –
Production-
Factory : +50% production
*Hydro plant : +1 production for river tiles (consumes 1 Aluminium)
*Nuclear plant: +25% production (consumes 1 uranium)
*Solar plant: +25% production (city needs to be on or near a dessert)
Windmill: +15% production (city cannot be on a hill)
Workshop: +20% construction speed of buildings
Military-
Barracks: +15 XP for land units
Armoury: +15 XP for land units
Military Academy: +15 XP for land units
Forge: +15% production of land units (requires iron “nearby”

Arsenal: +20% production of land units
**Stable: +25% production of mounted units (requires a source of horse “nearby”
Food-
Colosseum : +4 happy
Stadium : +4 happy
Theatre : +4 happy
Circus : +3 happy (needs horse or ivory nearby)
Granary: +2 food
Hospital: 50% less food for growth
Medical lab: 25% less food for growth
Watermill: +2 food (city must bordering a river)
*Not all required depending on resources available.
** Can be sold/removed late game.
National Wonders
Ironworks
Effects: +20%.Production.in.the.City.where.this.is.built.
Heroic Epic
Effects: All.new.Units.in.this.City.receive.the.Morale.Promotion.for.free.
Pentagon
Great People Improvements
Manufactory: +3 Production
---------------------------------------------------------------
(3) Culture / GP / Happiness Cities
Terrain – Riverside tiles, Flood Plains, Grassland & Coastal cities
Resources- Luxury- Incense or Wine(culture); Any Bonus(Food)- Fish +2
Improvements – Farms
Buildings –
Culture-
Monument: +2 culture
Monastery: +2 culture from nearby sources of incense and wine
Museum: +5 culture
Opera House: +5 culture
Temple: +3 culture
Broadcast tower: Doubles culture output
Food-
Colosseum : +4 happy
Stadium : +4 happy
Theatre : +4 happy
Circus : +3 happy (needs horse or ivory nearby)
Granary: +2 food
Hospital: 50% less food for growth
Medical lab: 25% less food for growth
Watermill: +2 food (city must bordering a river)
National Wonders
National Epic
Effects: +25%.Great.People.generation.in.the.City.where.this.is.built
Hermitage
Effects: Doubles.output.of.Culture.in.this.City.
Great People Improvements
Landmark: +4 Culture
---------------------------------------------------------------------
(4) Science City
Terrain – Riverside tiles, Flood Plains, Grassland & Coastal cities. 1 mountain for Observatory.
Resources- Any Bonus(Food)- Fish +2
Improvements – Farms
Science-
Library: +1 science for every 2 citizens
Observatory: +50% science (City needs to be built next to a mountain)
Public school: +50% science
Research lab: +100% science
University: +50% science & +2 science from worked jungle
Food-
Colosseum : +4 happy
Stadium : +4 happy
Theatre : +4 happy
Circus : +3 happy (needs horse or ivory nearby)
Granary: +2 food
Hospital: 50% less food for growth
Medical lab: 25% less food for growth
Watermill: +2 food (city must bordering a river)
National Wonders
National College
Effects: +50%.Science.in.the.City.where.this.is.built.
Great People Improvements
Academy: +5 Science