With this location, there is no shortage of sophisticated cultural entertainment from the High Arts. Balet, Opera, Art, Symphony, are all within five minutes. The Bunker Hill neighborhood has the Dorothy Chandler Pavilion, Ahmanson Theater, Walt Disney Concert Hall (a piece of artwork in itself!), The Broad Museum, and MOCA, Colburn School of Music. No other location in LA has this concentration of classical entertainment.
I am personally a big fan of the redo of Grand Park- one of my favorite fountains in the city is there. China town for art galleries, great street food, and Chinese new year celebrations, Little Toyko, and Dodger stadium are also local attractions.
With Promenade West’s close proximity to City Hall and Hall of Justice means that you are close to many of the movers and shakers who run the city.
Go a little bit farther down the road and there is the Grand Central Market, and some neighborhood restaurants (Mendocino Farms (their very first location!), Otium, Vespoid.)