Here are my thoughts, enjoy

Mlitary Priorities:-
1) Finish off persia, I hate having more than one war at once.
2) Upgrade any and all spears to pikes or above as and when neccesary.
3) Upgrade Mounted warriors to knights as and when necessry.
4) Either disband or upgrade any/all Warriors/Swordsmen as they are rapidly becoming obsolete and may eventually become a burden.
5) Once all military matters are dealt with, we may need to consider more workers, we have 35 cities and 38 workers, that maybe enough for now, but when rails come in we will need to produce more to get them installed asap.
6) Obviously produce enough settlers to settle any gaps in our lands, or to replace razed enemy cities
Other than that it's a matter of deciding which nation to conquer next.
Cultural Priorities:-
There are 19 cities needing border expansion, according to the culture advisor (have culture of 0).
Of these, I would prioritise the expansion of borders in cities nearest rival teams, and those cities with bonus or strategic resources in their radii.
This will mean that the cities captured from persia will need temples asap (mainly those on the border) to guard against flips.
Recently founded cities near persia and zululand will be second priority for temples as they will be needed to bring in any of the unclaimed land and resources into our territory and, to prevent the persians or any other team founding cities in our lands.
Worker Priorities:-
Our core looks to be reasonably well developed, As with the cultural priorities, the areas that need the most effort are the areas that have been recentley conquered or settled.
I think that the focus should be on bringing our outlying cities up to speed, and spreading irrigation to the areas that are going to need it as fast as we can, so the cities grow and become more productive sooner.
Improvement Priorities:-
Short - Term (Early Middle Ages)
Looks like we need a major marketplace drive throughout the empire, we only have 4 for the entire empire, ok, the early game isn't the best time to focus on markets and gold, but we may need the additional funds to support future wars, and we will definately need the luxury boost to sustain future representtive governments.
We will also need libraries soon if we want to start researching ourselves, these should then be complemented by universities, to ensure our research capabilities are adaquete.
(If we decide to be agressive, then we may not need research as much, but sooner or later we may need the boost these improvements provide).
I would also recommend courthouses in the more productive cities in the outlying portions of our empire, to get unit production up to speed.
Mid - Term (Late Middle Age - Early Industrial Age)
We are going to want to get banks and factories in to boost our economy, ensure we can support our growing armies, and to produce them faster in the first place. Stock exchanges will be nice, though they can be decided on when the time comes.
Long - Term (Modern Age)
This will depend on victory condition, If Space race or UN then the economy should be brought up to speed ith stock exchanges and research labs, or if conquest then (if we get that far) the above plus manufacturing plants if we need them.
Wonder Priorities:-
Disclaimer: This section is only if the team decides we want or need them,
Middle Age:-
It may be too late for sun tzus/leonardos, so we may want to consider smiths, or one of copernicus observatory/ Newtons college, or just set us up for a ToE prebuild to cement our tech lead or regain it as the case may be.
I/A:- ToE would be useful if we need to gain a lead over the AI technology wise, otherwise Sufferage or hoovers, depending on our needs.
M/A:- UN may be an essential one to gain as even if we dont want to win by diplomatic victory, we will not want anyone else doing so either.
other than that, I would say the Manhattan project (variant rules, playing with all of the weapons

) or the apollo program, the rest are all completely optional depending on situation.
Plan for my turnset:
Deal persia as much damage as possible.
build temples in borer cities, and bring those cities up to speed as soon as possible.
connect up all newly aqcuirred cities.
upgrade any units as neccesary (if possible).
build up as much infrastructure as possible i productive cities.
(That may be too many objectives, but it gives me something to aim for, and the team something to think about.)
Any Comments/Questions/Additions?
Turnset will be up Tomorrow night to give time for feedback.
SK.