My first one seems pretty famous in china, they have 3 anime series and spin-offs of them.
Here is a youtube link:
The second one would be about an mc who is in university or high school, he is a good fighter and works in a team with his best friend who wears glasses. The whole school building gets transported in another world and he fights goblins, he kills them and when the mobs die, he gets a gem as a power up, It is about him and the whole school in another world.