Paramount Plus Will Have A New Star Trek Series Dropping Every Quarter Star Trek on TV. We’ve already had three seasons of Discovery, a couple of Picard and Lower Decks over the past few years, but that’s just the tip of the iceberg. With the launching of Paramount Plus – a revitalized CBS All Access – in March, ViacomCBS is ramping up the franchise even more. In fact, the studio’s aim is to have a new season of Star Trek dropping every quarter of the year. Paramount unveiled reams of upcoming programming for its streaming platform at the TCA’s winter press tour this Wednesday, including announcing that children’s animated series