After the 1990s X-Men series, the next animated series was called X-Men Evolution
X-Men: Evolution had 4 seasons with 52 episodes total, now available online. The show features the first appearances of many X-Men characters in animated form along with some new additions to the cast, like Wolverine’s clone X-23. She’s since gone on to become a very popular character in the comics.
Evolution is the third longest running Marvel show, behind the 1990s X-Men and Spider-Man series.
I admit, I haven’t seen this one yet myself, but I’m pretty intrigued. According to wikipedia, it’s won several awards:
X-Men: Evolution won the award for Outstanding Achievement in Sound Editing – Live Action and Animation at the 30th Annual Daytime Emmy Awards, on May 16, 2003. It also won the Cover of the Year Award in 2004 for best animated figure for Beast. It was nominated for several Golden Reel Awards, as well as other Emmys. Steven E. Gordon, the director of this show, was nominated in the Production Design in an Animated Television Production category for X-Men: Evolution at the 2001 Annie Awards.
So check it out! After all, it’s free.