The 35-year-old won the club's player of the year award after a fine season.
The 35-year-old had an excellent personal season for the Toffees despite his advancing years and the club's underwhelming campaign on the whole, making 39 appearances in all competitions.
The former Aston Villa and Manchester City broke David James' record of 571 Premier League starts in the final weeks of the term, and was name the club's player of the season in recognition of his consistent displays.
With just shy of 800 senior appearances under his belt for club and country across an 18-year professional career, Barry could be forgiven for letting his standards slip in recent times as he continues deeper into his personal twilight.
However, the midfielder has managed to maintain his impressive level of performance, and insists that he has no plans to hang up his boots as long as he can continue to keep up with his teammates and opposition.
Barry said, as quoted by the Echo: "You have got to know your own body and what your body needs. I count myself lucky that my body has been really good with injuries. I’ve only had a couple of setbacks throughout my career where I have been out for four or five weeks.
"You’ve got to keep that desire and make sure that you are driving into training every day wanting to give 100 per cent. You take it a day at a time - then suddenly you are looking back at 17 or 18 years.
"I’ve also seen players who have retired and they have all said to keep playing for as long as possible. For me, I want to keep going because there is plenty of time after football to relax. Whilst you can still play football, why not keep doing it?"
Barry was a firm regular for Everton this season, and even if his contribution begins to lessen next season, all the signs are suggesting that he has a few years at the top left in him before the game gradually starts to pass him by.