css selector to match an element without attribute x

For a more cross-browser solution you could style all inputs the way you want the non-typed, text, and password then another style the overrides that style for radios, checkboxes, etc.

input { border:solid 1px red; }

input[type=radio], 
input[type=checkbox], 
input[type=submit], 
input[type=reset], 
input[type=file] 
      { border:none; }

- Or -

could whatever part of your code that is generating the non-typed inputs give them a class like .no-type or simply not output at all? Additionally this type of selection could be done with jQuery.

:not selector:

input:not([type]), input[type='text'], input[type='password'] {
    /* style here */
}

Support: in Internet Explorer 9 and higher

Just wanted to add to this, you can have the :not selector in oldIE using selectivizr: http://selectivizr.com/