Not much to dislike about Terrestrial- they have great brew, a fun location that'd be an interesting trip for those unfamiliar with Battery Park, and they allow dogs in out and everywhere around the brewery. It's a pretty great atmosphere to grab a beer, kick it on the patio with some dogs and watch the trains rumble past.
My tiny beef is that they tend to brew more on the "hipster" side of the spectrum featuring mostly IPAs and related hoppy beverages. Being a lager & pilsner guy I can usually find 1 beer on the menu but I'm definitely not spoiled for choice.
Pro tip: order a pizza from Cha ahead of time and enjoy on the patio with friends before Edgewater Live.
Cheers to beers.