Stuff to do around here:
As others said, if you're into art, there's the Albright Knox gallery (modern art) up Elmwood by the 198. Across the street is the Burchfield Penney gallery. The Darwin Martin House on Jewett Parkway near the zoo is a popular tourist site. Niagara Falls, of course, and there are a couple casinos in the area if that's what you're into.
Like any city these days, we have our share of breweries. There's Big Ditch downtown, Resurgence up Niagara Street, 42 North down in East Aurora (a bit of a drive),
New York Beer Project up towards Lockport (another bit of a drive), Hamburg Brewing south of the city. Belt Line Brewing Company near the Larkin District just opened. Community Beer Works on the West Side. These tend to close earlier, at 11 or 12.
Buffalo is proud of its food - do this weekend right and you may drive home 10 pounds heavier. Wings are found both at bars and at pizzerias. The best are when they come right out of the fryer to your table. I've never been to Anchor Bar - it's usually for tourists.
Duff's is a standard place, they have several locations but the original is in Amherst at Sheridan and Millersport. Bar Bill is a big deal down in East Aurora. Other local favorites are Nine Eleven Tavern in South Buffalo and Gabriel's Gate in Allentown.
Buffalo style pizza is somewhere between Chicago deep dish and NY thin slice. The usual best are LaNova's on the West Side, Bocce Club on Bailey Ave in Amherst, and Imperial Pizza on Abbott in South Buffalo (a Bocce clone). Santora's is pretty good too, they have one by UB North Campus and another huge operation out on Transit in East Amherst (it's yuppie heaven).
It's Lent here, which means fish fry season, so on Friday you'll find lots of that going on. Either at restaurants or as fund raisers at churches and fire halls.
Unfortunately you're going to miss Dyngus Day by a week.
Dinosaur BBQ of Syracuse opened a location downtown a few years ago, very good food.
For nightlife - there's some downtown, mostly around Chippewa Street, but that's for bachelorette parties and meat-heads. The meat-head crowd has also moved onto Allen Street, but if you're out late (bars here can stay open till 4 am, though most probably close earlier), end your night at "The Old Pink" on Allen near Elmwood. It's a 'dive of dives', and doesn't get going till after 1. Elmwood - it's kinda spread out, from Allen north to Forty Thieves, Thin Man, Thirsty Buffalo, up to Cole's (an old Buffalo favorite, good for wings and beef-on-weck too) and Mr Goodbar. Essex St Pub on the west side is pretty chill. Hamburg and East Aurora have some walkable areas, so does Williamsville (Moor Pat and the Irishman). Hertel Ave in North Buffalo has been revived, that's very walkable and plenty of bars (Mes Que for soccer, Wellington, Sterling). They've built some things around the arena downtown - 716, and the Labatt Draft House - they're part of Pegula's money making operation, it wasn't enough to just get your money in the arena. They're probably still celebrating St Patrick's Day down in South Buffalo, at places like Nine Eleven, Blackthorn, and Doc Sullivan's.
People don't drink much Bud or Miller around here, the basic beers are (Labatt) Blue or Blue Light or Molson.
Lloyd Taco and Deep South Taco, La Divina in Kenmore, for Mexican. Late night food - Mighty Taco or Jim's Steakout. Oh, or Allen Street Poutine - outstanding stuff, by a couple guys from Montreal. Ted's for grilled hot dogs. If you're willing to take a little ride, Grover's in Amherst on Transit for burgers. Red-sauce Italian food - Chef's east of downtown, and Santasiero's on Niagara St at Lafayette.
Pick up some Paula's Donuts at some point, the main one is on Sheridan in Tonawanda. Beef-on-weck is roast beef on a kimmelweck roll, some of the best ones are Bar Bill's in East Aurora, Schwabel's in West Seneca, and Kelly's, another dive up Delaware in North Buffalo.
If you're looking to watch Premier League action on Saturday or Sunday morning, head to Mes Que on Hertel. They've been able to show the Beanpot for us the past couple years because the get pretty much every channel.
You can find some more ideas at stepoutbuffalo.com and
https://www.buffalospree.com/Buffalo-Sprees-Best-Of-WNY/, also
https://buffalonews.com/section/gusto/
Hope you all have a nice visit to our city.