So, despite my avatar, I am not the best person to ask in terms of timelines for his career. I cherrypick lucha big time. Below are some great Park performances post 2000 that i think are all available on youtube.
vs El Hijo Del Santo (1/23/2001)
w/ Haloween and Rey Mysterio Sr. vs Rey Mysterio Jr, Damian 666, and Vampiro (10/26/2001)
vs el Mesias (6/18/2011)
vs Dr. Wagnar Jr (5/11/2013)
vs Rush (7/14/2016 - air: 7/16/2016)
w/ Rey Ecorpion vs Penta el Zero and Daga (3/1/2017)
vs Rush (3/11/2017)
w/ Volador Jr and Flyer vs Rush, La Bestia del Ring, and Terrible (5/25/2018)
You could sort of take those in chapters. Those are two all time individual performances from him in 2001 where he is still relatively thin and athletic. His strength here is playing to the crowd and the strength of his opponents. He really is the glue that holds this stuff together. The 2011 and 2013 matches are ape shit brawls after he has put on some weight, but still gets around pretty well. They are, to me, some standout matches from the time period and really just based on crazy bloody brawling. It has been quite a while since I have seen them, but Park at this time was a peak brawler and made everything so visceral and malice. The four matches from these past two years are contemporary Park being a fat crazy man. There are lots more matches you could watch, but those would give you a little taste of Park coming into this exciting CMLL/AAA stuff, I think. I would say his greatest strength is bringing a feeling of absolute chaos to matches right now.