The Line-Item Veto Amendment would allow the President to veto lines of given bills, without vetoing the entire bill. This exists in most states.
SECTION 1. The President may approve any appropriation or provision and disapprove any other appropriation or provision in the same appropriation bill. In such case he shall, in signing the bill, designate the appropriations and provisions disapproved; and shall return a copy of such appropriations and provisions, with his objections, to the House in which the bill shall have originated; and the same proceedings shall then be had as in case of other bills disapproved by the President.
SECTION 2. This article shall be inoperative unless it shall have been ratified as an amendment to the Constitution by the legislatures of three-fourths of the several States within seven years from the date of its submission.
A whole host of people, including Newt Gingrich.
I am undecided on the Line-Item Veto Amendment - Smart aka Reuven.