The Scot takes his side to face Bolton in the fourth round of the FA Cup on Saturday, and hopes he is able to win some silverware with the club as he reaches 500 games in charge
The Scot will reach the milestone when his side travel to Bolton's Reebok Stadium in the fourth round of the FA Cup this weekend.
And while Moyes admits his pride at reaching the milestone, he is well aware that he is yet to win a trophy with Everton and hopes the best is yet to come during his reign.
"Hopefully the real highlights are still to come, they're the ones I'm looking forward to,” Moyes told reporters. “But I've enjoyed a lot of good times at Everton.
"I didn't know until this morning that it was 500 games. It's amazing that some people have got 1,000 games at one club, that is some achievement.
"Obviously 500's not a bad number when you see the way people get rid of their managers so quickly nowadays."
Moyes has several moments he is particularly fond of, including his first game against Fulham and the 2009 FA Cup semi-final when his side knocked out Manchester United.
|11/1||Everton are 11/1 with Bet365 to beat Bolton 3-1 on Saturday
"My first game [against Fulham] was a great day, scoring in the opening minute. Since then we qualified for the Champions League, and in that year we had to beat Manchester United in the run-in and Newcastle, so I think that would stand out.
"And maybe the semi-final of the FA Cup, when we got to the final. Albeit we didn't win the final. There maybe haven't been enough trophies but certainly some good highlights."
And Moyes insists he wants to go all the way in the FA Cup and is prepared to back up his claims with a bold team selection.
Moyes said: "I think we've always gone for it. Talk's cheap - you have to do it. We're going to try to do it. I've said to the players that we want to try to win the FA Cup, but I say that every year. It's down to us to try to make that happen."
However, Moyes did admit that his side’s upcoming fixture against West Brom in mid-week will be in the back of his mind during team selection.
"It'll definitely come into the thinking," he said.
"We continually talk about the Champions League, how we'd like to hang in there and see if we can get in amongst that. But you've always got to take one game at a time and that's what we'll try to do."
Bolton dropped out of the Premier League on the final day of last season after 11 years in the top flight, and they look unlikely to bounce straight back under new boss Dougie Freedman.
The Trotters showed what they are capable of by winning a third round replay at Sunderland's Stadium of Light, though, having also led by two goals in the first match.
Moyes said: "Bolton were in the Premier League for more than 10 years so they'll be disappointed to have slipped out of it. But they've still got a lot of Premier League players in their side so they'll be doing everything they can to try to get through."