Unironically, DPRK gives me strong monarchy vibes whenever their propaganda speaks about their political dynasty or their socialist fatherland as a "great family" or the oneness of the Leader or the extraordinary virtue behind them... that is what I consider the best thing in DPRK and what everyone else considers the worst about DPRK. I won't give my opinions on the rest of the political ideology of Juche or socialism, but that aspect of DPRK appeals to me...
Liechtenstein also has sometimes gets brought up around here...
But I cannot point to many contemporary examples, speaking as an absolutist... only certain aspects of different regimes that appeal to me... it isn't always completely what I'd want. It would be easier to go back and point to other royal regimes... contemporary examples aren't always the best... I might use Prince Sihanouk as an example to express how I view monarchy--particularly, for emphasis on how monarchy is personal.