According to the official dS site, the progression of the Fraser/RayK relationship is as follows:
1. They meet, with sparkage. Fraser asks Ray to get something to eat with him. (BDtH)
2. Fraser researches Ray, tracks him to the mausoleum, says that Ray is someone that he would be honored to call his partner and friend. (Eclipse)
3. Fraser feels the need to pat Ray down to find his cell phone. (I Coulda Been a Defendant)
4. We meet Stella, find out that Ray is still pining. Fraser and Stella don't get along well together. Fraser opens a door into a man's crotch for Ray. (Strange Bedfellows)
5. Fraser uses hypnosis to get Ray to be more polite with him and to get Thatcher to let him spend more time with Ray. (Seeing is Believing)
6. Ray breaks union ranks to help Fraser, Fraser has a flirtation with Janet Morse. (Bounty Hunter)
7. Fraser, believing that Ray needs emotional closure, doesn't help Ray in the final fight, Ray tells him to help next time. (Mountie and Soul)
8. Ray lets Fraser hid people at his apartment. (Spy vs Spy)
9. Ray runs to Fraser when he's in danger. Fraser believes in Ray wholeheartedly and says that Ray is his partner and friend, a bit of continuity fulfillment from Eclipse. Fraser Sr. tells Fraser to follow his heart, well, pretty much. (Asylum)
9.5 (Perfect Strangers)
10. Ray helps Fraser in finding out who really killed the dead guy. (Dead Guy Running)
11. Ray and Fraser have a huge blowout, Ray hits Fraser. Fraser walks away. Later, Fraser hits him back, at Ray's request. On their 'one last case', Fraser shares air with Ray, argues with him more, trusts in Ray's judgement and then they communicate wordlessly. They agree to stay partners. (Mountie on the Bounty)
12. Ray has an unsuccessful interlude with a woman. Fraser helps Ray fulfill a childhood dream. (Doctor Longball)
13. Ray drives a motorcycle through a window to save Fraser. (Easy Money)
14. Ray chases after a Stella-lookalike who is a suspect in their murder case. Fraser is... unusually unsympathetic. (Likely Story) (Is he tired of seeing Ray chase women?)
15. Ray is afraid that Fraser is falling for a card shark. Fraser doesn't trust Ladyshoes but dances around the issue with Ray. They end up playing poker for air. (Odds) (touch of payback for Likely Story? Fraser can be petty, on occasion.)
16. Fraser helps Ray find out the truth about Beth Botrelle and is there for Ray after Ray's talk with Beth. Fraser does a shoulder rub thing at the end. (The Ladies' Man)
17. They are comfortable enough to climb over each other. (Mojo Rising)
18. Ray tells Fraser that he sings like a bird. (Mountie Sings the Blues)
19. The guys Christmas shop together. Sad things happen, Ray is there in the end. (Good for the Soul) (Okay, understatement alert.)
20. Can't remember Dead Men Don't Throw Rice enough to do this one.
21. Fraser says that he believes in love at first sight, camera cuts to Ray. (Say Amen)
22. Fraser and Ray both chase after the same woman: a Mountie who ends up being Fraser's half-sister. They talk in a bathroom stall. (Hunting Season)
23. Ray Vecchio returns, Ray Kowalski is devastated. Fraser and Ray go off to Canada on the trail of the killer of Ben's mom, leading to Fraser hauling Ray up a mountain and finding out that Ray wants to go on a great adventure. Series ends with Fraser and Ray in Canada, setting off on their adventure. (Call of the Wild) (Personally, I think that something physical happened after Hunting Season. It's the 'heavy breathing' remark. Then, of course, Vecchio makes Ray doubt everything.)