BuddyPress.org

You have to comment it out, in each file, the avatar appears, in the members loop for example:

filename-members-loop.php in the skeleton member theme line 26. It should look like this after commenting it out:

“><? //php bp_the_site_member_avatar() ?>.

Now you have an empty link, thta points to the profile.

The Css way:

.item-avatar{diplay:none}

visibility:hidden.

Maybe it can cause errors in old Ie Versions, so I would recommend the first solution.