Is there another state similar to the Mamluks, where the succession

Are you actually asking if states have had monarchs that have picked their successor?

>>3295245
I mean ones where hereditary succession was almost never the case and remained so for a long period of time

>>3295262
Polish-Lithuanian commonwealth fits your parameters. Elective monarchy.

>>3297118
What about ones that weren't elective?

>>3297191
Tons of Romans emperors adopted heirs. Trajan only became emperor cause the old emperor was unpopular and the army bullied him into adopting him.

>>3295135
HRE was technically an elective monarchy and had a lot of unrelated successors until the Habsburgs took over the whole show.