City's landmarks and buildings
Spreading things out will encourage PCs to circulate, but keep reasonable; try to balance the number of locations in the game and the number of players.
private ‘public’ locations
palace, citadel, forts
richer locations
nice market
Consulates
city hall
boarding school (like Eton) in the University District
university (like Cambridge)
jousting/arena (on the North Peninsula)
The Sun Inn
Jewellers guildhall
cathedral
Poor neighbourhoods
places for outdoor performers
The Moon Inn
flophouse
blackmarket
ceramic district
cliff caves (can make some residences)
pillories
gibbet
gambling den
sketchy waterfront bar
coffee house
outdoor stage (think The Globe)
public harbours
relevant guildhalls
customs house(s) (think Bryggen)
harbours, quays