I used to name everything. I still sort of come up with a name for most beers, but it rarely sticks. I sort of BS'ed a lot of names for checking them in on Untappd, but then I got bored of that.
I have a few that are named that I brew pretty regularly, and a couple other theme names. My house Mild I first brewed under candle light during Hurricane Sandy while my neighborhood was being evacuated, and since it ended up being a whole lot of nothing the name was provided accordingly, "Sandy's Mild Breeze". I named my house ESB "Maggie's Six Feet Under" prior to the event in question, to be rebrewed in celebration each year on the anniversary of said event. If you grew up in 1980's England, you will understand. Otherwise I'm not explaining it. My house Bitter is "Hooligan's Heaven" because real ale, football, and aggro go hand in hand. And all of my Trappist/Abbey style ales are based on "Monkey" for a variety of reasons (one of which being the "monk" part), plus a nod to strength. My Single/Tafelbier is "Common", Dubbel is "Knightly", Tripel is "Noble" (the original ie the second beer I ever brewed, because of the noble hops, the rest came from there, and that beer has been tweaked since), and the Quad is "Royal". My Brett Tripel (still one of the best things I've ever brewed) became "Funky Monkey" appropriately. Nod to strength. Beyond that, names are a placeholder at best.