Darker than Black: Kuro no Keiyakusha, Charlotte Recommendations
Both anime involve characters with abilities but they have restriction on using them both are very well made amazing story and art style one is the abilities are held by anyone and the other only teens can have abilities.
After a certain phenomenon, humans who developed supernatural abilities are starting to appear. Some are able to control it, some aren't, some use it for misdeeds.
Main characters and co. go after them to prevent more chaos.
Although Charlotte has more comedic start while DtB have more stoic-ish feel, both shows are pretty dark.