<p>in terms of prestige, Stanford is wayyy much better.
outside English speaking countries, LSE is not famous. In asia, I have met tons of ppl who have not even heard about LSE. In Taiwan, China, Korea, and Japan, offers from HYPSM always generate much bigger wow factor than those from oxbridge and other European universities. The top European universities are not highly regarded as American universities. Stanford is very well-rounded (maybe the best in the world), so it definitely draws much more attention and gains much more prestige. </p>
<p>BTW, I am an international students from Asia.</p>