The 33-year-old says the club must "keep pushing forward" and improve on previous campaigns, with Oldham in the FA Cup next up and Champions League qualification a possibility.
Long-serving boss David Moyes has won praise in the past for guiding the club into the Champions League in the 2005-06 season and the Toffees are once again in with a chance of qualification - currently sitting six points off the pace.
Ahead of the FA Cup fifth-round tie with Oldham on Saturday, Howard feels this season could be the most successful in recent memory for Everton.
"January was a good month for us and we’ve still got a lot to aim for this season - we’re going well in the Premier League and we’re in the fifth round of the FA Cup," he told the club's official website. "A lot of clubs would settle for that but we’ve just got to keep pushing forward and try to make this a season to remember."
The 33-year-old was named Everton's player of the month for January - a period that saw him keep two clean sheets and the team go undefeated in all competitions. The former Manchester United man was pleased with the accolade, but insisted that it's more important that the squad performs well and secures favorable results.
“It’s always nice to win individual awards and I was delighted when I was told about it but it’s all about the team," he added. "I know that’s a cliche but we’re at the stage of the season now where it’s all about results.”