It remains to be seen whether autumn 2018 will see a new Battlefield game and early 2019 will mark the launch of Anthem. Meanwhile, Electronic Arts still has to find release windows for the Star Wars titles in development under the licencing agreement they have with Disney. The project fronted by Amy Hennig should have been coming in the next fiscal year, ending March 31 (2019), although it doesn't look good for the project after the closure of Visceral Games.
Respawn's Star Wars project has therefore taken the lead. CFO Blake Jorgensen revealed as much during an earnings call this week, explaining that the game "most likely will drop in Fiscal 20 versus another Battlefront". Fiscal 20 goes from April 1 (2019) to March 31 (2020). Indeed, EA has confirmed that Star Wars Battlefront III will happen, but they haven't "decided timing for the next Battlefront yet", this according to IGN.
In a nutshell, it sounds like we'll get a new Battlefield later this year, with Anthem dropping in early 2019. Later that year we might see Respawn's offering, before EA circles round and releases the third game in their Battlefront series thereafter. When we'll see the revised and reimagined ex-Visceral Star Wars game is a mystery, however.