As per Lawkidunya, here below some famous examples of admission and confession in law

Admission:
“I admit that I didn’t study enough for the test and that’s why I did poorly.” (acknowledging a mistake)
“I admit that I have always been afraid of public speaking.” (acknowledging a belief or feeling)
“I admit that I forgot to turn off the stove before leaving the house this morning.” (acknowledging a mistake)

Confession:
“I confess that I stole the money from the cash register.” (admitting guilt for a crime)
“I confess that I cheated on the test.” (admitting wrongdoing)
“I confess that I lied to my boss about why I was late to work.” (admitting wrongdoing)