The manga is ongoing, but nothing has ever been mentioned lately about a new TV show to continue the series, other than some speculation. The animated series is, essentially, ALL PROLOGUE. The manga starts with Gatsu hunting monsters for a few stories, then flashing back...first to his "childhood" (or, as you or I might call it: HELL), then to his time with the Hawks. The animated series ends right before the present time, which is a pity....since it's Gatsu's darkest hour. On the bright side, you don't get to see what happens to poor Caska after the events of the final episodes of the series.
On the down side, you miss two important characters: Puck and the Skull Knight. Puck is an elf (pixie, really) who travels with Gatsu after he rescues him in the beginning of the manga. Puck is the comic-relief, and his presence is sorely missed and badly needed during the show's grimmest moments. The Skull Knight, a mysterious armored figure who is perhaps the most powerful "good" guy in the show, is also sorely missed.
(puck)
(the skull knight)
Understand that the manga has now gone something like 10 volumes past where the series ends, and is well worth tracking down (and translations can be found on the net).
As the series progresses after the "Black Sun over Midland" event, the more fantastic elements of the series come to the fore, as the Black Sun event acts as something of a catalyst, bringing out the magic users, trolls, ogres, apostles and all other sorts of superhuman and magical creatures.
A good site to visit is
skullknight.net.
Beserk is currently being released in the US by
Dark Horse Comics, who has been releasing a volume every three months, and are currently coming on volume seven. Most of the TV series covers volumes 4-13, iirc. The series has been running in Japan for 15 years now, and is up to volume 7.