What is an example of unassuming bias in psychology?

Unassuming Bias: Tendency to explain personal success as a result of external factors such as luck or help, and failure as a result of one's personal mistakes.

There are a lot of biases, and a lot of words explaining them. You should google the term and study all the results to get a clear picture.

www.google.com/search?q=unassuming+bias