The entertainment industry always loves a good comeback story, and music's latest resurgence is no exception. Despite an explosion in digital and streaming music — including Spotify, Apple Music, Pandora and Tidal — consumers are spending more money on vinyl records, and more vinyl buyers are millennials. In 2014, more than 13 million vinyl long-playing albums, or LPs for short, were sold in America. And the first half of 2015 is showing similar sales strength with more than 9 million LPs sold, according to the Recording Industry Association of America. The association says the last time it has seen such high LP sales was a quarter century ago, in 1989. At that time, nearly 35 million LPs were sold. Then in 1990, compact disc sales took off, and vinyl sales fell by the wayside. The current surge in LP sales is partly being driven by younger consumers. Industry researcher MusicWatch reports half of vinyl record buyers are under 25, and men are more likely to buy LPs than are women. "It's definitely a bright spot for the business," RIAA's Josh Friedlander said in a statement to CNBC. "In an increasingly digital age, vinyl records can provide a deeper, tactile connection to music that resonates with some of the biggest fans," said Friedlander, the association's senior vice president of strategic data analysis.

Dave Miller, plant manager of Independent Record Pressing in New Jersey, with a finished record. Source: Kate Rogers

LP shipments increased 52 percent to $222 million for the first half of 2015, according to the association. But that's still only 7 percent of the overall market by value in a music industry dominated by digital and streaming sales.

The vinyl demand is driving production at Independent Record Pressing in Bordentown, New Jersey. The plant opened about 10 months ago and just launched production in the past few weeks. The company wants to make more than a million records per year.

Adding to the overall spike in vinyl demand, the New Jersey location is among only a handful of U.S. plants still making LPs. "Our demand far exceeds that," General Manager Sean Rutkowski said. "We could run these presses 24 hours a day, seven days a week and still not be able to meet demand. Capacity is really the choke point in the vinyl industry right now," said Rutkowski, a music industry veteran of some 20 years. Independent Record Pressing has contracted with about half a dozen independent labels and has four full-time employees. Read MoreInside one of the fastest-growing private companies



Music files vs. tangible LPs

Sean Rutkowski, general manager of Independent Record Pressing, spins a record before its packaged. Source: Kate Rogers