Here is a list of some of Jay's best/most important matches I copied from elsewhere. It's far from exhaustive; it's mostly just a "best-of" among what is available on Youtube. The man literally had hundreds of great matches. Anyway, here ya go:
First Match in ROH History
Jay Briscoe vs. Amazing Red
The Era of Honor Begins - February 23, 2002
Jay Briscoe vs. Mark Briscoe
One Year Anniversary Show - February 8, 2003
Samoa Joe vs. Chris Sabin vs. Jay Briscoe vs. AJ Styles
Beating the Odds - September 6, 2003
Tag Titles Match
Izzy & Dixie vs. The Briscoes
Main Event Spectacles - November 1, 2003
NO PRE-MATCH OR POST-MATCH SHOWN
Tag Titles Match
The Briscoes vs. Samoa Joe & AJ Styles
The Conclusion - November 28, 2003
Jay Briscoe vs. Bryan Danielson
Final Battle 2003 - December 27, 2003
https://www.youtube.com/watch?v=Yux1omGwXZw
Tag Titles Match
The Briscoes vs. Samoa Joe & Bryan Danielson
The Battle Lines Are Drawn - January 10, 2004
https://www.youtube.com/watch?v=FrvyKRD4OYE
The Briscoes vs. Matt Sydal & Davey Richards
Anarchy in the UK - August 13, 2006
https://www.youtube.com/watch?v=AXJrBJOwGXs
Hardcore Match
The Briscoes vs. Samoa Joe & Homicide
Motor City Madness 2006 - October 7, 2006
https://youtube.com/watch?v=H3ZnAlGRLes
Jay Briscoe vs. Mark Briscoe
Fifth Year Festival: Finale - March 4, 2007
https://www.youtube.com/watch?v=HLKMVc9OuuA
Tag Titles Match
The Briscoes vs. Motor City Machine Guns
Good Times, Great Memories - April 28, 2007
https://www.youtube.com/watch?v=Pd5RwNqriT4
Tag Titles Match
The Briscoes vs. Shingo & Susumu Yokosuka
Live in Osaka - July 17, 2007
https://www.youtube.com/watch?v=q0mViVt3e0c
Hardcore Match
The Briscoes vs. Necro Butcher & Joey Matthews
Take No Prisoners 2008 - March 16, 2008
https://www.youtube.com/watch?v=KWYjSImEi_k
Tag Titles Match
Kings of Wrestling vs. The Briscoes
ROH on HDNet - Taped August 21, 2010
Aired October 25, 2010
https://www.youtube.com/watch?v=84fLA--LUz4
The Briscoes vs. Future Shock
Honor Takes Center Stage Chapter 1 - April 1, 2011
POST-MATCH NOT INCLUDED
https://www.youtube.com/watch?v=0o7ozYt5EQk
The Briscoes vs. All Night Express
Honor Takes Center Stage Chapter 2 - April 2, 2011
POST-MATCH NOT INCLUDED
https://www.youtube.com/watch?v=vSCSUMHbGIU
Tag Titles Match
The Briscoes vs. Young Bucks
10th Anniversary Show - March 4, 2012
https://www.youtube.com/watch?v=32mdWvK8ZC0
The Briscoes vs. The Headbangers
TV Taping - November 3, 2012
Aired December 1, 2012
https://www.youtube.com/watch?v=fJEs5IL6qbk
Elimination Match
Adam Cole & Matt Hardy vs. The Briscoes vs. Chris Hero & Michael Elgin
Wrestling's Finest - January 25, 2014
https://www.youtube.com/watch?v=nDNmNb3RqkI
No DQ Match
The Briscoes vs. Outlaw, Inc.
Raising the Bar Night 2 - March 8, 2014
https://www.youtube.com/watch?v=AZQiosi-Ebc
Jay Lethal, J. Diesel, Bobby Fish, & Adam Cole vs. Moose, The Briscoes, & Papa Briscoe
Future of Honor #2 - July 27, 2014
https://www.youtube.com/watch?v=knrgbM50pc0
ROH Title Match
Jay Briscoe vs. Michael Bennett
ROH TV - Taped September 27, 2014
Aired October 25, 2014
TIME STAMP 16:25
https://www.youtube.com/watch?v=YAonDmZIvY0
The Briscoes & ODB vs. Matt Taven, Michael Bennett, & Maria Kanellis
ROH on SBG - Taped January 24, 2015
Aired February 7, 2015
https://www.youtube.com/watch?v=FcTshRz2g2k
ROH Title Match
Jay Briscoe vs. Samoa Joe
Supercard of Honor IX - March 27, 2015
https://www.youtube.com/watch?v=QCyCclBs-fE
The Briscoes vs. Kazuchika Okada & Shinsuke Nakamura
War of the Worlds 2015 Night 1 - May 12, 2015
https://www.youtube.com/watch?v=Ut2Whc6xHjE
The Briscoes vs. Roppongi Vice
Death Before Dishonor XIII - July 24, 2015
https://www.youtube.com/watch?v=RJUw9zk0tYs
Jay Lethal, Jay Briscoe, Cliff Compton, Cheeseburger, & Adam Page vs. Roderick Strong, Mark Briscoe, Matt Jackson, Moose, & Cedric Alexander
TV Taping - November 20, 2015
Aired December 19, 2015
https://www.youtube.com/watch?v=VflxHjh32NM
The Briscoes vs. War Machine vs. All Night Express vs. Beer City Bruiser & Silas Young
Reloaded Tour 2016: Pittsburgh - September 16, 2016
https://www.youtube.com/watch?v=fX2aI6gdk6w
Six-Man Tag Titles Tournament Quarterfinal
The Briscoes & Toru Yano vs. Jay White, Kushida, & ACH
All Star Extravaganza VIII (PPV) - September 30, 2016
https://www.youtube.com/watch?v=NAFZHvaPj4Q
Tag Titles - 2/3 Falls Match
Young Bucks vs. The Briscoes
Honor Reigns Supreme 2017 - February 4, 2017
https://www.youtube.com/watch?v=tAO-6pmWETE
Six-Man Tag Titles Match
The Briscoes & Bully Ray vs. The Boys & Dalton Castle
Best in the World 2017 (PPV) - June 23, 2017
https://www.youtube.com/watch?v=Qddyne2tF2Y
The Briscoes vs. Rey Bucanero & Ultimo Guerrero
War of the Worlds UK: Edinburgh - August 20, 2017
https://www.youtube.com/watch?v=YYYMpXJO8Xw
The Briscoes vs. Flip Gordon & Jushin Liger
War of the Worlds 2018 Day 1 - May 9, 2018
https://www.youtube.com/watch?v=sHmkz5cRDsk
Tag Titles Match
The Briscoes vs. Killer Elite Squad
State of the Art 2018: Dallas - June 16, 2018
https://www.youtube.com/watch?v=Bh5WjKkVYPM
Tag Titles Shot Match
The Briscoes vs. 2 Guys 1 Tag
ROH TV - December 15, 2019
https://www.youtube.com/watch?v=jRT76KSN3L8
Fight on the Farm
Jay Briscoe vs. Mark Briscoe
ROH TV - July 2, 2021
https://www.youtube.com/watch?v=vgiXVzFoqk4