Is the saying "According to me" correct?
I believe it's incorrect, and that "In my opinion" is better.
Can anyone clarify?
The use according to me is correct, but it doesn't have the same meaning as in my opinion.
The form according to nn is used when nn is some kind of authority, so if you are using it on yourself, you are also implying that you are an authority in the field.
It's certainly grammatical. Whether and where you use it is entirely a matter of personal choice.
Anything that can go wrong, will, according to Murphy
According to me, Murphy was an optimist.
According to Longman, you cannot say "according to me" as it means "as shown by something or stated by someone or reported by".
if you use according to as a reporting device, "according to me" will be incorrect since you are the one who is reporting. In this usage, according to is mostly used to attribute statements / thoughts to other sources/people. Below is an excerpt from "The New Fowler's Modern English Usage":
According to, used as a complex preposition, means
1) in a manner that is consistent with something
2) as stated by someone or in something
2.A) as a factual statement
2.B) with an element of uncertainty or disbelief
3) in a manner or degree that is in proportion to something