When you say a fighter has better than 1 to 1 thrust to weight, you have to know which weight you mean. Most modern fighters approach or exceed equity with no pay-load and only internal fuel, but few do with armaments and external fuel tanks.

With a useful war load, even the Harrier needs a short take-off run to get the wings generating some lift before partially vectoring thrust to achieve lift off. Having used fuel and weapons, it is almost always capable of a vertical landing.