Mouse

in both, the main character is a thief, though DN Angel has a more detailed plot then Mouse. 

Very perverted anime with very little redeeming qualities overall. If you have self-dignity, then these anime are some of the bottom of the barrel, but for everyone else, these series are both mediocre. 

Both main characters are renounced as the best thieves in their own worlds and in both series, though Magic Kaito 1412 has a more detailed plot then Mouse.  

Both main characters are renounced as the best thieves in their own worlds and in both series, each episode provides an insight in their talent as thieves. 

Lupin, but more ecchi. 

They are both adventure shounen comedies where the main character is a thief that can steal anything. Both always give a notice before they try to steal something and both have detectives that are trying to catch them. While Kaito Joker is for younger audience, Mouse is more ecchi.