Well, starting generally (and not including the saving a small country nonsense), things that seem to stand out are:
(1) Work experience during/after university, especially so if you were involved in a significant way either in a collaborative setting or with significant responsibilities/leadership. Work done in public interest, or business, or really anything substantive where you worked professionally and among a group, means a lot to adcomms;
(2) Volunteer/community involvement —If you do more than just transparently sign up for school groups to fill the resume, but rather jump into even one or two solid efforts where you get a lot out of it, help others maybe, esp. if you take on a leading role in the process, these things count a lot (esp. also of you weave into your PS somehow). It shows ambition, organization, energy, etc.
(3) Traveling abroad or to different cultures/communities, maybe as part of a school exchange, or even after university, as part of teaching program or anthropology or whatever. Even substantive working in a US inner-city environment working with like a PD's office shows that you appreciate the diversity of experiences that law schools cherish.
So, I'm no expert, and I am not an adcomm. Plus, those things to me just seem like a FEW things that can help you demonstrate to adcomms something beyond just school + one or two internships. But even if you wren;'t able to work in Ghana, or work in Silicon Valley on a small internet start-up company, or do Teach for America, you can amass a preponderance of evidence of softs too. Throw in a couple internships, some summer volunteer work, maybe Prez/VP for one campus group, also artistic endeavors like dance or music to show you are well-rounded. If one of those softs was something in which you really stepped up and got involved in an issue, or taking on mucho responsibilities, they recognize that stuff.
These are sufficient to get acknowledged, yes, but not enough to wow anybody. Still, i imagine the most impressive work could be one student who worked in a community legal aid center for two summers, and took on increasing responsibility, got a ton out of it, and used it to form a narrative in their PS. Write about it well, not just as a pro forma exercise demonstrating a facsimile of civic duty, and I'm sure an adcomm would see that as very impressive. May not make you stand out above everybody, but if you amass softs that don't just scream "I'm applying to law school, can you tell?", then you would at least stand above the thousands who don't do much at all.