I can't say that I was a fan of the term "Global Struggle Against Violent Extremism", notable only for the acronym "GSAVE". Additionally, I always despised the term "The Long War", which not only sounded a little too much like George Orwell's "Perpetual War", but also because "The Long War" was always given the movie-like tagline of "the generation-long struggle against [something or other]". That's great if you're a policymaker above military age and aren't giving up your youth. However, the rest of us don't like looking forward to twenty years of deploying for a year, returning for eighteen months, and repeating as necessary. So yeah, down with that "Long War".
The Washington Post article linked above announces that current overseas conflicts are now referred to as overseas contingency operations. Which isn't catchy, and it's vague. Still, I like it better than "The Long War".