I feel like maybe around 2012 the whole concept of eras died.
Like I can clearly visualize items/people/media from the 60s/70s/80s/90s/00’s, but everything is homogenized now and there’s really no “style of the time” either. I think everything from 2013+ will just be remembered as a malaise era, if anything. Maybe the style of the 2050’s will be post cyberpunk apocalyptic? I have no idea.
I usually heard it called the “noughties”. But, yeah, that’s kind of unwieldy, plus easy to confuse with the “nineties”.
https://en.wikipedia.org/wiki/Names_for_the_number_0_in_English
I just call them the two-thousands and people understand what I mean