Everton stole a march on ascendant Newcastle as their siege mentality continued to pay dividends following last month's Premier League-issued 10-point deduction.
The Toffees snatched three late goals in the second-half, and were given a helping hand thanks to two significant errors from Kieran Trippier.
The home win moves Sean Dyche's side out of the relegation zone for the first time since their steep punishment.
Newcastle, by contrast, were unable to build on their classy 1-0 home victory against Manchester United last weekend, and cannot climb higher than seventh place in the table.