After the dissolution of the DX, Triple H was pushed as a main eventer, winning several single titles. Triple H then took part in a storyline that saw him marry Stephanie McMahon, who later became his wife in real life. In 2003 he formed another faction, known as Evolution (with Ric Flair, Batista and Randy Orton), and reformed the D-X with Shawn Michaels in 2006 and 2009.
Levesque is heavily involved in the WWE programming writing process and has complete creative control over his character of his TV storylines, record wins/defeats and titled realms. The Game has been named as one of the greatest wrestlers of all time.
In 2011, Pro Wrestling Torch stated he was "widely regarded as the best wrestler in North America" by the turn of the millennium." Triple H has been praised for his heel persona, though he has been criticized for his last years as a wrestler.
After his match against Undertaker and Kane at Crown Jewel in 2018, Dave Meltzer wrote, "When Ric (Flair) was 48, he was a lot better than Triple H." In February 2020, Levesque's title was elevated to Executive Vice President of Global Talent Strategy & Development for WWE.
In a recent interview with ESPN, HHH revealed his favorite opponent: “There’s been a bunch of them. Honorable mentions, for sure: Austin, ‘Taker, Rock for sure, Mick Foley. But if there’s one guy where I could have rolled out of bed on five minutes’ notice, and as long as I got my boots tied in time we could have gone out there and done 45 minutes and tore it up without ever looking at each other beforehand? It would have had to have been Shawn.
When we’re talking 25 years, we’re talking 25 years of friendship and traveling up and down the road. We joke about it now: I know what he’s going to say sometimes before he says it. He knew what I was going to do in the ring before I did it.
Even now, doing NXT, we can be in an arena watching something that we’re trying to produce, and we make eye contact and know exactly what each other are thinking. So if I was going to say anybody, it would be Shawn. Which is more of a credit to him than to me, because he probably could have done that with anybody”.