I feel like Liberty needs these changes:
Opener: +1

and +1

per city
I want to make the opener more attractive for players. Right now, it makes much more sense to open Tradition if even if you don't plan on completing it because that +3

is really good.
Republic: + 5% production for buildings, and +3% production for every city that already has that building.
IE, the more cities with Monuments you have, the faster you can build a Monument in a new city. This way you can settle a new city and get it up and running pretty quick with the essentials.
Collective Rule: Speeds training of Settler by 50%in all cities. Free Settler appears near capital.
Citizenship: +25% improvement build rate. Maintenance paid on workers is halved, and Workers do not count towards the unit cap. A free Worker appears near capital. +25% production towards Work Boats.
Meritocracy: +1 Happiness for each city connected to the capital, and -5% Unhappiness from population in non-occupied cities.
Representation: Each city you found increases the culture cost of new policies by 33% less than normal. Starts a Golden Age.
Finisher: A free Great Person of your choice appears near the capital. -1

and +1

in every city.
Basically the CN tower moved to the finisher, except it also applies to new cities as well.