BNW is extremely good for multiplayer and I would recommend it if you actually intend to play against human players, as the cultural victory is no longer a race and is instead a proper competition, and space victory is no longer the easiest road to victory (late game techs are considerably harder to reach). The late game ideologies (freedom, order, autocracy) are very well done and make the game much more enjoyable from industrial onward.
The play style has changed slightly in that massive expansion isn't as well rewarded (and OP) as happiness is harder to acquire until industrialisation when you can get a few happiness from certain buildings policies. Additionally, tech costs increase with additional towns (and puppets) making spam towns slightly less effective at gaining insane science growth. Finally, other than the capital, unless you have a lot of stolen great works (new concept, artists have been split into categories that can each generic certain types of great works which help you win cultural victory), your towns won't have as much culture output making policies a lot harder to gain with lots of founded towns.
The problems I do have with the expansion is the AI is even more clueless in how to conduct warfare, as they don't even build walls most of the time, even on king and higher difficulties. Additionally, the AI seems to be affected more by the whole warmonger thing in BNW as it is a bit more fleshed out, which is good for the cultural/peaceful players as they used to assist the people that were going to kill them next, however the military superpowers pretty much condemn themselves to defeat by being hypocritical and hating other warmongers and as a result having nobody to trade luxuries with, the people get angry with the leader, and the empire's advance is halted. It's unfortunate the brutal militaristic powerhouses of high difficulty GNK just don't exist and BNW AI opponents are generally quite poor players. They tend to favour cultural victory now, and they generally just suck at it, and I have no idea why.