Analogous organs are a result of

Analogous organs look similar. They are not anatomically similar structures though they perform similar functions. Hence, analogous structures are a result of convergent evolution - different structures evolving for the same function and hence having similarity. 

Examples of analogous organs:

• Wings of butterfly and of birds 
• The eye of the octopus and of mammals 
• The flippers of Penguins and Dolphins.

Stabilising selection does not lead to evolution of new organs.