Animes like Grimgar of Fantasy and Ash?

There's nothing really out there that is like Grimgar, it's quite unique in a way, I guess you could go for other Isekai, but most of them are extremely different. There are shows that kinda "feel" similar, they're like very atmoshperic and character driven, for that kinda show I'd recommend:

Shinsekai Yori -

From the New World

Haibane Renmei -
(Haven't watched this one, but saw people saying that if you like Grimgar you'll like this.)

Haibane Renmei

I don't believe there's any updates on if we will be getting a season 2 or not I would hope to think so since it was a good anime, I mean look at Re-Zero so all hope is not lost.... As for similar anime I can't really think of any serious anime's that's similar to Grimgar other then SOA and Goblin Slayer.

I'll go out and say that I haven't watched an anime that's like Grimgar, I think as an anime it's truly unique. It's Isekai, but from the Isekais I've watched there's not really one that gives me the same feeling or atmosphere that Grimgar does. I know Grimgar continues only in the LN but I doubt the anime will get a second season as it's been years since it's release but hey we can be hopeful :)

These are two animes that at least share the element of Isekai and I think they're animes that are a bit more serious than Isekais like Konosuba so I hope these are cool hehe
ReZero kara Hajimeru Isekai Seikatsu
Log Horizon

Not really similar, but i'd recommend these animes

Honzuki no Gekokujou Shisho ni Naru Tame ni wa Shudan wo Erandeiraremasen
Yakusoku no Neverland

hmm the only anime I can think of that isn't mentioned is
Girls Last Tour

• not really isekai but it has that same sort of calm and "depressing" atmosphere(in a good way. Love anime like this). Its bout two girls exploring what humanity left behind(like technology and warfare) and trying to survive in a post-apocalyptic world(no monsters. Just barely any life left on earth). Its like the setting of the world after global warfare/resource depletion.