LORELAI: So, let me get this straight. Uh, you and some guys who actually know what they’re doing are gonna come over and fix my house, and I can pay them back whenever I want?
LUKE: That’s right.
LORELAI: ‘Cause I’m Tony Soprano?
Tony Soprano (played by James Gandolfini) is the central protagonist of the crime drama television series The Sopranos, shown on HBO from 1999 to 2007 (a similar run to Gilmore Girls, oddly enough). Tony becomes the head of the DiMeo crime family, and is the patriarch of the Soprano household.
The Sopranos was a ratings success, despite being on a premium cable service, and was hailed by many critics as the greatest and most ground-breaking television series of all time, with writing, acting, and directing all singled out for praise. It has won numerous awards, and is regarded as extremely influential on the development of television drama as an art form. A prequel film set in the 1960s and ’70s called The Many Saints of Newark was released this year.
As Lorelai loves the Godfather films, it makes sense she would enjoy The Sopranos as well.