Here are my thoughts about who will receive which indirect bonuses in BNW.
America:
+ with no water gold every early gold is great. And with cheaper tiles buying you can save more of it
Arabia:
+ obviously new UA is great by itself but there is also a synergy with UB. Bazaar is a unique market, which now also gives 2 gold per trade route.
Austria:
- by marrying a CS they will get less votes in WC
+ has an option to choose between extracting an artifact or creating a landmark on antiquity sites in former CSs territories (rather than simply extracting)
+ better GWAM generation with coffee houses
The Aztecs:
+ can defend both military and culturally at the same time against high-turism civs
Babylon:
+ in my experience I usually beelined writing, settled a free scientist, built the Great library, then got drama&poetry plus the Oracle or philosophy and NC. I can see some benefits here: there is also the Parthenon wonder at drama&poetry, might be useful (but we don't now the exact benefits yet

) plus better science means you can probably get WC, antiquities and an ideology earlier - but it's all really a long shot.
Byzantium:
+ Early piety and thus religion plus possibly two reformation beliefs sounds like a very strong improvement. Probably gonna need to delay getting tradition or liberty benefits at the start though
Carthage:
- no production bonuses from harbor (moved to lighthouse)
+ I can't find a source but I remember reading that the harbor now provides some TR bonuses (and still create a city connection I presume). So apparently Carthage is a more of a trade civ now (plus you will definitely want to go Exploration). And you can protect your naval TRs with some quinqueremes very effectively.
The Celts:
+ early piety can help you create a very, very early religion if you want too, but I would rather say that the Celts are forcing the other civs to go early piety rather then tradition /liberty if those civs dont want to lose the best beliefs to them (e.g. if the Celts and, say, India both start in tundra, the latter will want those quicker shrines to be able to get the faith per tundra belief faster than the Celts).
+ Also there is an SP in the aesthetics tree, which allows to build opera houses 50% faster.
China:
+ Early gold from UB is even better now that river/water tiles gold is gone so you can slightly delay research Animal Husbandry/Sailing if you want other techs first.
Egypt:
+ new wonders to spam

a possible minor benefit: getting the world wonder of their chosen ideology faster than other civs also means a free tenet;
+ no maintenance gold from UB means you can get a TR or two domestical rather than international. And domestic TRs means even more production for wonders (just think about it!) or more food/production for low-pop cities (happiness bonus from UB is great when going wide)
England:
+ you can have both a spy and a diplomat right at the renaissance. Or even two diplomates if you really want to
Ethiopia:
? There is an Order tenet which gives local happiness from monuments (i.e. UB) and also some production bonuses towards them but it is really late. Maybe good for modern Era starts?
+ same as the Celts in the religion aspect.
+ there is an SoPol in the aesthetics tree, which allows to build monuments 50% faster. And aesthetics unlocks as early as classical era!
France:
The French Revolution is coming! Let us break the Ancient Regime!
Greece:
+ More CS buddies means more WC votes.
The Huns:
+ Ability to build a caravan and one trade route right at turn 0. Although you're going to be warmongering, not trading but a domestic TR is still good, just need to get a granary. And let's not forget around three hundred new potential city names from new civs :-D
The Inca:
+? no hill movement penalty probably means pillaging an enemy TR and getting away with it before the defenders can retaliate if you attack from behind a hill. Also they can get to an antiquity site on a hill faster. But that's all situational. Lesser tile improvement cost is good but at the time you're gonna build those roads your TRs should be already up and running, I guess.
The Iroquois:
+? Very rarely get an antiquity site faster if it is far from the tiles where you would build a road normally and is deep within the forest. Also their AI is the most famous expansionist so he will got almost all of them in his territory anyways
India:
+ Your UBs know gives you defence on two fronts simultaneously: militaristic and cultural. Plus some turism is good. Since you're likely to stay tall and thus have no problems with building national wonders, universal healthcare tenet (which is always available) can boost your happiness even more.
Nuclear Non-Proliferation Treaty. Depending on who got there first, India AI will either nuke everybody without being nuked at return or cannot nuke at all
Korea:
+ Pretty much the same as Babylon. Faster techs means earlier WC, archeology, ideology
The Maya:
+ UB plus piety opener plus liberty means wide empire with quick faith and science.
? If you can choose a Great Writer, an Artist and a Musician separately rather than only one of them as a part of UA that means a great benefit towards CV. Note, that we don't know if this is the case.
Netherlands:
- it's now harder to simply sell all those luxuries without some DoFs, and because the Dutch almost always want to sell them it is even more painful to them than to the other civs
Polynesia:
+ a chance to find every other civ in game before anyone else does on maps with many oceans like Continents or Islands. That means a slightly better chance to found a WC.
+ Moai gives many precious culture and later some tourism.
Rome:
+ If I understand correctly, domestic TR system has a great synergy with UA after researching Metal Casting. Imagine that: 1. Build a workshop in Rome. 2. Sent each TR available from Rome to other major cities of yours. Now they have UA and TR production bonuses towards a workshop. 3. Build many workshops that way. 4. Switch all TRs backwards and have multiple production bonuses in Rome. 5. Build any building that you want here 6. Repeat steps 2 and 3 for that building. 7. Repeat steps 4-6 for every building.
Although this is going to be a management nightmare but it is really worth it.
Siam:
+ as for every bit of extra culture, the wat and CS culture is good, although you should have a couple of great works at the time of wats already for pure culture purposes.
Songhai:
+ early gold from barb camps is great. Plus UB does not require gold too and gives precious culture
Spain:
+ new +6 food and +6 production natural wonders (I do believe they are confirmed, right?) will become +12. That is gargantuan! If they're on the map of course.
Also the "+5 culture from NWs" resolution is great for them.
Sweden:
+ less problems with gold trading, because they are likely to want more DoFs anyways.
As for the Denmark, Germany, Japan, Mongolia, Persia, Russia and the Ottomans I can see no special benefits nor penalties. Although for warmongers in general (which most of the said civs are) there are,at on hand, some great new tenets, especially in Autocracy. On the other hand, domination victory is harder now that you have to conquer every other capital.