In 2018 Veep will return for a seventh season, Silicon Valley for a fifth. Both are about halfway through their current seasons.
Veep has been a perennial Emmy winner since premiering in 2012, with Julia Louis-Dreyfus earning five straight Outstanding Actress trophies for her role as acerbic politician Selina Meyer. It's also the reigning back-t0-back Outstanding Comedy Series champ. It was also awarded a Peabody last month.
Silicon Valley has so far only won in technical categories, but has been nominated for Outstanding Comedy Series for three years straight.