There's a heck of a lot of 20th century lit taught in English classrooms, especially young adult lit. Now there's also an increase in non-fiction, much of which will also be current. The idea that English class reading is always old books is becoming more and more outdated now. Sure, Shakespeare is still read but pretty much everything else is, at the earliest, 1850 and up.
I think it was Junior year of English at my school that was dedicated entirely to American literature. We started with The Scarlet Letter, Moby Dick, and lots of Mark Twain, before moving on to several 20th century titles. A lot of this was "newer" and more current than much of the European literature we read in Freshman and Sophomore year. I believe Senior year was more about writing skills and poetry than reading tons of novels.