Tool to manage and/or make available a list of my publications on the web? This some kind of follow up question to How to prevent plagiarism of my papers?, since I've been clearly convinced that it was in my best interest to put my own papers on my webpage. 

Now, since I need to make the effort to put them, I might as well try to do it in a nice way. Right now, I'm using bibtex2html, which is a tool I can run locally, taking a bibtex file with my publications (that I create manually), and that outputs the resulting HTML, that I can copy/paste to my webpage. 

I like it, but it can sometimes be complicated to use, so I was wondering if there exist some other tools? My ideal tool would be some tool where I could put the bibtex (one for each publication) and the pdf, and that would create a kind of database, such that I could sort my publications easily. 

(Note: Right now, my webpage is hosted directly on Wordpress, so I can't host directly a PhP script, but if there were a really good tool, I could try to host my webpage myself.)
You could consider hosting it via one of the reference / citation managers, such as CiteULike or Mendeley, which can take imports of Bibtex files. Your own university may (should!) have such a web-front plus publication database available, for you to embed into your university home page.

Wordpress

If your webpage is hosted directly on wordpress.com, then no, you can't host your own PHP script. If it's Wordpress hosted elsewhere, then you should be able to add your own PHP script, by incorporating into your plugin. There are skeleton plugins available to get you started. It may be that asking on Wordpress.SE will give you some useful pointers.

Mendeley

On Mendeley: there is an embedding plugin for Wordpress. I haven't used it, but it might be worth looking into. Or, on your Mendeley profile web page, select edit, then embed. Or Share > Embed elsewhere on Mendeley pages (groups or whatever).

There's an article on Beta Science on embedding Mendeley that may be useful. It uses the same Share > Embed as above, but recommends creating a "Publications" group in the desktop client first, putting your own papers into that, (in order, from oldest to newest). 
Then right-click -> Edit Settings, then under "Collection Access" choose "Public - visible to everyone". Then click "Apply and Sync". Then, from the collection web page, select "embed" to get the appropriate html.

CiteULike

If you prefer CiteULike, they have an excellent API, allowing you to customise your own tools. And the staff on the discussion forum are very responsive (a marked contrast with Mendeley).

Academia.edu

If you prefer Academia.edu, you could always embed your publications page (and maybe your talks page too) in an iframe