The other day (friends-only post) I helped sweetmeow by pointing her at the non-JS badge for Twitter which can be found here, at BunnyHeroLabs.
In this post lazscott mourned this inability for LJ to display the NaBloPoMo badge and so I replied with the following as a comment:
My NaBloPoMo Profile
Random NaBloPoMo Blog
...I use this hefty chunk of code:
<center><table align=center><tr align=center><td align=center width=50%><a href="http://nablopomo.ning.com/profile/natalieford"><img src="http://www.natalieford.com/pics/nablopomo-badge.jpg" alt="NatalieFord's NaBloPoMo Profile Badge"></a><br /><a href="http://nablopomo.ning.com/profile/natalieford"><em>My NaBloPoMo Profile</em></a></td><td align=center width=50%><a href="http://www.nablopomo.ning.com/random.html"><img src="http://www.natalieford.com/pics/nablo07.120x90.jpg" alt="nablopomo badge with kitty saying IM IN UR BLOG READIN UR THOTS!!"></a><br /><a href="http://www.nablopomo.ning.com/random.html"><em>Random NaBloPoMo Blog</em></a></td></tr></table></center></code></blockquote>
...where "http://www.natalieford.com/pics/nablopomo-badge.jpg" is the badge graphic that I created and am hosting on my own website.
I hope that helps! If you'd like, and you do not have your own web hosting, I could host a JPG for you on my site. I could even create it for you if you email me a screen capture (PrntScrn and paste into MSPaint or Photoshop, on windows, Apple+Shift+3 on mac OSX)!
I know that LJ have a (valid) security reason for refusing to let us embed JS in our journals but *surely* they could allow us to do so - there are few sites these days that do not allow JS...