From my VHS recordings, here are the bumpers and promos (and occasional commercial) that aired during Inuyasha on Adult Swim in the Summer/Fall of 2003.

This is after Adult Swim had adopted the "black and white card" bumpers (starting in late May 2003). Inuyasha was one of the few Adult Swim anime shows to be a part of all 3 eras: The "Adult Swim Action" (on Saturday nights) era of 2002, the weeknight "Instruction Manual" bumpers of the first half of 2003, and then a part of the weeknight "black and white card bumpers" era in the 2nd half of 2003 and onward (the only other anime I can think of that was part of all 3 eras was "Cowboy Bebop").

I don't have full commercial breaks, but still, this gives you an idea of what Adult Swim was like in the Summer/Fall of 2003.

Included here:
1. The revised "Parents Strongly Cautioned" bumper. If you recall the "warning" bumpers in the previous 2 uploads, by this point, they had advance beyond the "robot voice" and the "human voice" reading the warning. Now they just had this disclaimer appear on the screen (no one reading it).
2. Adult Swim/Inuyasha bumper ("Single Japanese Female" version). This aired prior to the start of an episode.
3. Inuyasha bumper ("Naraku bad" version). This was the start of the commercial break for an episode.
4. Inuyasha bumper ("what's allowed on TV?" version)
5. Inuyasha end bumper ("Blue Gender" up next)
6. Inuyasha bumper ("Bright Red MC Hammer pants" version). The episode started up right after this.
7. Inuyasha bumper ("shout out to the audience members" version)
8. Inuyasha bumper ("stupid boxes" version)
9. Inuyasha bumper ("Blue Gender up next")
10. Inuyasha bumper ("there's a lesson to every show" version). The episode started right after this.
11. Inuyasha bumper ("Subliminal Messages" version)
12. Inuyasha bumper ("List of what's scary" version)
13. Inuyasha bumper ("scrawny little geeks" version / "Blue Gender up next")
14. "GI Joe: Spy Troops" promo (for the "Saturday Video Entertainment System" programming block)
15. "Inuyasha" series promo ("Monday through Thursday at Midnight"). This was in the Fall of 2003 by this point, around September, I believe.
16. The revised "Parents Strongly Cautioned" bumper.
17. Inuyasha bumper ("there's a lesson to every show" version). The episode started right after this.
18. Inuyasha end credits (the third end credits, from Season 2 of Inuyasha). Just including this to show Adult Swim would air the end credits, but not the opening theme songs.
19. Inuyasha bumper ("things we hate" version). The episode of Inuyasha started right after this.
20. Inuyasha bumper ("waiting for a good idea from NiteShadow" version). I notice there's a lot more interacting with the audience by this point in the bumpers.
21. Inuyasha bumper (Zerosu wants to be a Chinese Schoolgirl)
22. Inuyasha bumper ([The_Pillow] flatters the staff of Adult Swim. Also, "Blue Gender up next")
23. The revised "Parents Strongly Cautioned" bumper.
24. Inuyasha bumper ("Jdsterl" declares "Me Think Swim Good"). The episode started after this.
25. Inuyasha bumper ("Blank" suggests "Morse Code")
26. Inuyasha bumper ("ShadowHunter" has a problem with Squirrels).
27. Inuyasha bumper ("MistahX" has a problem with the bumper cards)
28. "VeggieTales: The Ultimate VeggieTales Collection" commercial (partial). The recording cuts out right after this. This is after the final episode that I recorded ("Inuyasha's Soul, Devoured", from September 2003). The next season didn't start until April, 2004, but I had moved by that point and wasn't in a position to record further episodes at the time.

Commentary: And....that's a wrap. 7 years later, and I've reached the end of my recordings. This all started with me finding my old VHS recordings in a storage shed in the Spring of 2016 and deciding to go through them and uploading what I could find.

Most of my collection focused on my interests: Cartoon Network, Adult Swim, Kids WB, Fox Kids, the Sci-Fi Channel, news recordings from CNN, Fox News and sporadic other stuff. My primary years recording on VHS tapes were from 1995 to 2005, but I do have some older material and later material. The uploads are roughly 70% my recordings, 10% stuff given to me by friends back in the late 90's/early 2000's, 10% stuff given to me since I started this project (7 years ago), and 10% stuff I acquired on my own (eBay or just discovering at local garage sales). Special thanks to "VHSTrader234" for the material he gave me.

I'd like to give a "shout out" to @CaptainBZarre and @80sCommercialVault for being sources of inspiration for my channel. Also, a shout out to those on the "Toonzone" forums who have supported me (you know who you are).

I'm not going to say it's impossible for there to be any future uploads. If I personally come across more, maybe I'll make another "Season" of uploads. But I accomplished what I set out to do, 7 years ago.