Fail on world building, which is probably the biggest appeal of supernatural/fantasy stories for me. And one of the reasons the original Ghostbusters worked.
It's like the prop and costume designers didn't talk to the set designers about what era it was supposed to be in. The set design is 2010s, but the costume and props (especially the ghostbuster equipment) are from the '80s. 'Cause seriously... magnetic tape? who uses that when when we've got digital? It's like they wanted both the retro nostalgia factor and the "set right now" at the same time and it just doesn't look right.
The other things that bugged me are things that were in the original Ghostbusters and are now the completely opposite way around. The first big one is the cause of the upswing in paranormal activity. In the original, it's 'cause an ancient deity from outside our dimension is trying to break in though a contently designed skyscraper. There's no mention of a person actively trying to bring the deity though. "All" the ghostbusters have to do is stop it. Now it's because someone who's possessed is doing something to make the paranormal more active. Thing is, possession is something we've seen happen to another ghostbuster in the previous trailer, and they were able to stop it pretty easily. So it doesn't seem to be all that impressive a threat that they have to solve. Certainly not on the level of ancient deity powering everything up and we have to solve a problem we never anticipated we would have. The conflict the new movie is centered around seems like a pretty small problem that they seem to know already existed. There's not a sense that they have to do anything all that impressive to fix it.
The other big problem is a lack of internal suspension of disbelief. In the original Ghostbusters, nobody doubts that the ghostbusters are doing legitimate work for a real problem or that it's working. Everyone native to New York (including the government) is on board with them and when the EPA comes by and undoes everything, they all give him an "we told you so". All of which helps solidify that the supernatural stuff really is happening and is really a problem. Here it seems like it's going the route of "is the supernatural really real or not?" which seems like a cheap side-plot. Of course the supernatural is real! That's why we the audience are watching the movie! We're here to watch the Ghostbusters take out ghosts, not have to defend themselves from other skeptic scientists. Give us more screen time of that.
The feeling I'm getting from the trailers is that the cast of this movie feels a lot more passive/reactive to events then then the cast of the original did, which I'm not sure is a good change.