There is no 'shame' in admitting your mistakes. [=you should not feel ashamed/embarrassed about admitting your mistakes]
It's 'a crying shame' [=it's upsetting to me] that movies are often so violent these days.
Her art project 'put mine to shame'. [=her art project was much better than mine]
(..) James Gordon... "The Batman didn't murder Harvey Dent." "He saved my boy," "then took the blame for Harvey's appalling crimes" "so that I could, to my shame," "build a lie around this fallen idol." "I praised the madman who tried to murder my own child." "Well, I can no longer live with my lie." (..)2012 The Dark Knight Rises