I'm sad to say that for those like me who were hoping there might be several nice full treatment scenes in this one, well, you will be sorely, sorely disappointed.
This is hands-down the single most frustrating cartoon I've ever checked as far as missed opportunities for gagged damsels. 
It has all the right ingredients to produce those kind of scenes: 2 cute female friends of James who are usually involved in his adventures, a different beautiful girl he meets from around the world in nearly every episode (who usually winds up as a DiD needing rescue), some attractive villainesses, and most importantly, a whopping 65 episodes. Unfortunately, this amazing potential for some great full-treatment scenes is almost entirely wasted by this cartoon. 
What is most agonizing is the fact that there are many gagged male scenes though, so it's not as if this show had an aversion to using the cloth, just not on the gender we want. 
That being said, for the DiDs there are 2 hand-gags and 1 (very brief) gag scene, but that is all I could find. Here are the caps and some brief descriptions for those:
Ep 2 "Earth Cracker" - A girl named Lotta Dinaro is hand-gagged by Oddjob (look what they did to that poor bastard!
) and taken inside a tank. Later on she's tied to a chair and zapped with some sort of ray device. 
Ep 8 "Location: Danger" - A girl named Anna Genue is kidnapped by villainess Felony O'Toole and hand-gagged while trying to call to James from a car window.
Ep 53 "Sherlock IQ" - Some girl (not sure of her name) James meets in London is caught by Baron von Skarin and his goons. James and IQ are walking through some underground tunnel area a bit later and find her tied to a pillar and OTM gagged. This scene literally lasts only about 2 seconds and 2 shots of her.
This is the much better one although it's one of those immediate gag-removal types. 
These are the English episode titles and #'s which I got from here: http://en.wikipedia.org/wiki/List_of_Ja ... ._episodes" onclick="window.open(this.href);return false;
The "Sherlock IQ" one is actually #52 in the German version if you're downloading the torrent, but the other two match-up.
Alright, now for the good news! For those of you non gag-snobs out there, this show is absolutely loaded with tie-up scenes and other forms of DiD that don't involve gags. It seems like there is some form of DiD in nearly every episode. You will find lots of tie-up scenes in it along with other more minor scenes like grabbings, carries, lock-ups, etc. So if these kinds of scenes interest you then you will want to download the torrent because this show is chock-a-block full of DiD scenes.
I didn't bother to cap these other scenes because there are so many of them it would take a full day just to do them all, but if anyone else wants to cap them be my guest. If you can get past the lack of gags I guarantee you won't be disappointed with this cartoon.
She does get captured in the episode in a quick grab & carry scene, then put in the villain's car. But she's not even tied up! Just kept in the villain's car. So lame! That one in particular just made me want to cry at the missed opportunity. 
