Villa - who had endured a three-year exile from the Premier League prior to this season - had gone toe-to-toe with Everton during previous campaigns but struggled to get near the Toffees in a gritty opening. "But I always felt we were a threat on the counter".
Everton boss Marco Silva, speaking to BBC Sport: "It is really hard to see how we can lose this game when we create so many chances to score". In my opinion we should achieve more in this game but if you don't score from the chances you create.
"We played well against Bournemouth and from the supporters there is a lot of optimism".
Villa began to turn the tables against a sluggish-looking Blues midfield and when Grealish found Jota with a quick free-kick, the Spaniard put Wesley in to despatch a clinical finish past the stranded goalkeeper.
Everton, who could have claimed provisional top spot with a victory, went close to a first-half equaliser but Dominic Calvert-Lewin's strike was superbly cleared off the line by defender Bjorn Engels.
The result and Everton's first goals conceded this season condemned Silva to a first defeat of the season and with plenty of work to do before the trip to Lincoln on Wednesday in the Carabao Cup and then the visit of Wolves beyond that on 1st September.
Iwobi had an immediate impact and he turned to fire against the post in the closing moments.
Alex Iwobi was denied a debut Everton goal when he hit the post late on and Theo Walcott blazed a golden chance over with a minute left.
And El Ghazi wrapped up the long-awaited points for Villa when he slotted home John McGinn's pass from six yards in the fifth minute of added time.
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