You know this genre. People awaken superpowers and are called Hunters/Awakeners/Players/Rankers/etc, and monsters and/or mutated creatures invade Earth. Also there are gates to other dimensions and/or a tower where each floor is a dungeon and/or regular places suddenly become dungeons. May also include beings from other dimensions who started this nonsense for their own self-interests.... more>>

May include series that aren't *quite* this genre but are close enough. Includes both romance and non-romance. 
I've separated the series that don't have any translations on this site and put them in another list here: 
https://www.novelupdates.com/viewlist/91661/ <<less

Romance bloom as the relationship growth with spending time to adventures and action together.... more>>

Some of them NEED to be adapted in anime :)  <<less

I found that there is not many dungeon based novels with a female protagonist, so here's a small list.

No description.

Hunters, dungeons, gates, etc. Sci-fi & fantasy.  I’ve read these and enjoyed them.