Noughties

Generation Z includes those born in the early noughties, which is the first decade of the 21st Century from 2000 to 2009.

Source: tatoeba (7279393)

Our readers — and contributors — are apt to elect a good deal according to years. The seventies and eighties, we may suppose, are concerned for the large educational and cultural interests of their Alma Mater; the nineties are deep in the practical and business activities; the noughties are not naughty, but still young enough to sport a fantastic costume at reunion and let the college wag as it will; the oneties are the really wise as to what the college ought to be, especially on its athletic side, but as contributors modest.

Source: wiktionary

I doubt if any modern poet can boast of as loud acclaim or as liberal reward as Longfellow received for Evangeline or Tennyson for the Idylls, but his fate today is somewhat kinder than that of Poe or Whitman, and much gentler than the stony dole dealt out to poets in the nineties and noughties.

Source: wiktionary

During the Naughty Noughties, Jim was worth between ten and twelve million dollars and his income was more than even he could reasonably spend.

Source: wiktionary