I really liked how FMA began, but can't be arsed to watch 10 episodes of bs to get started, what is Mirai Nikki about?
Yukiteru "Yuki" Amano is a loner who spends most of his time writing a diary on his cell phone or talking with his imaginary friends Deus Ex Machina, the God of Time and Space; and Murmur, Deus' servant. One day, Deus gives Yuki a special diary, mentioning something about a game. Strangely, Yuki's new diary has entries in it spanning the next 90 days—entries about the future that come unnervingly true. Deus, revealed to be the not-so-imaginary God of Time and Space, then forces Yuki to participate in a battle royale with twelve other people, each of whom also has a diary that can predict the future in some unique way. The rules of this "Diary Game" are simple: the contestants must try to find and kill all the other contestants before the world ends on Day 90, and only the last one standing can prevent the Apocalypse and become the new God of Time and Space.
I really enjoyed it tbh, its similar to Death Note in a way which is an awesome anime that will have you hooked from episode 1 and keep you hooked.
I'm currently watching SOA (Sword Art Online), Naruto (when new eps come out) and Baki the Grappler.
Baki the grappler sort of fits your description, he starts off wanting to be so much stronger, heaps of action (constant fights), and the animation is decent. Don't know about the death part though, not that far into the series yet.