Theming taxonomy term

I themed two node types using tpl files.
I have node--type1.tpl.php and node--type2.tpl.php

It works ok. The side effect is that when I click a taxonomy term, instead of the usual taxonomy list I obtain a teaser of the output of my node--type1.tpl.php and node--type2.tpl.php which is messing up the output.

I'd like to theme how the taxonomy term are listed.

I tried to create and modify a taxonomy-term.tpl.php as per documentation but nothing changes.

I tried page--taxonomy--term.tpl.php but it is an overkill (it can override regions, logo, menus and so on).
I'd like to be able to modify a template for the taxonomy list only and not the entire page.

Any suggestion?