According to new legal docs ... Weinstein claims he was deprived of a fair and impartial jury trial, which resulted in guilty verdicts and a sentence of 23 years in prison.

Weinstein's team claims the jury was influenced by sensational, prejudiced media coverage, special interest groups and the public's "magnified moral outrage over claimed sexual misbehavior of powerful men."

Weinstein's appeal highlights several points his legal team brought up during his trial, including the allegation one of the jurors lied about writing a book focused on older men preying on younger women.

In addition, Weinstein claims the jury was permitted to hear allegations of prior bad acts and uncharged crimes ... which he argues is a major error that deprived him of his right to a fair trial.

Weinstein also claims he was barred from presenting a defense against the prosecution's expert witness, and even alleges the judge showed his own bias when he harshly admonished Weinstein for using his cell phone in court.

Finally, Weinstein slams the trial court for allegedly influencing the jury's decision by essentially letting the prosecution put Mr. Weinstein’s entire life on trial instead of just focusing on the charged offenses.