It is a little bit not so clear. Double voting will confuse you in counting.
Mughals vs Rome vs Thais:
The muslim, medieval dynasty of India vs the biggest classical European empire vs a small nation in Indonesian peninsula.
UU:
Siege elephant vs legion vs chang suek:
Siege elephant and legion are really strong units. Legion can build the roman roads, a much better version of roads, so
legions win.
UB:
Mausoleum vs forum vs tai chi:
The GP boost of
forum is the best.
UP:
Tolerence vs infastructure vs emmisaries:
The power of tolerence just coutr-balances what the core mechanics penalise in Mughal game, while I find the emmisaries of little use. The power of roman
infastructure wins.
UHC1:
3 islamic mosques vs many roman buildings vs open borders:
The total amount of
18 roman buildings beat the total amount of 15 mughal buildings.
The open border UHC has a meaning only as a Portoguese UHC, I don't like the thai nor the irani version.
UHC2:
The 3 wonders vs the roman empire vs Ayutthaya:
In fact the gameplay will judge if 3 wonders or the empire is better. Researching technologies and building without competition, vs building an army and conquering without competition. AIs can defend their lands better than preventing you from building a wonder, so
roman empire wins.
UHC3:
20000

vs the 3 roman techs vs liberating east-south Asia:
I can see a competitive thai UHC at last. However, 20000

is challenging. Well, the
3 roman techs and controlling the roman empire is much more challenging. However, this challenge is really ruined with the new release mechanism, you can just give away the many cities you control and research them in less time.
Mughals: 0
Rome: 6
Thailand: 0
Rome has become a reall worthwhile and balanced IMO game to play, if the release mechanic is out. Mughlas is a really good civ, but they just don't have any fate against Romans. Thais are too small to be compared with Mughals or Romans.
Senatus Populus Que Roma and
Imerium Romanorum win