I presume you're based in Argentina?
In general, US airlines have way more of such offers, because there are
so many different airlines competing against each other in one country in the USA, which you don't have to the same degree in Latin American countries, and because most of the partner companies that give miles for email surveys and such are based in the USA.
So just because there's a lot of that available at a USA-based airline doesn't necessarily mean it's available for airlines in other parts of the world.
Having said that: You have to spend a lot of time dealing with a lot of junk email to get any significant miles from those. I belonged to one of those, and without spending money on things I didn't need, it took me many many months to get each 500 miles. It ended up just not being worth that much effort for that few miles.
There are
lots of ways of earning miles in USA-based airlines (dining programs, online shopping portals, those email survey programs, repeated credit card signup bonuses, etc) that are rarer for airlines based outside of the USA.
In any case, LAN should have its partners listed on its website. Go to the LAN website for your country and look up partners. (That's who you'd find those partners on AA. It's just that AA quite likely has
way more non-airline partners than LAN does.) On the LAN USA site it's at:
http://www.lan.com/en_us/sitio_perso...rn-km/earn-km/
and yes there's very little. There's one credit card (USA-specific), there's Hertz and Avis for rental cars (Econorent in Chile), and only 5 hotel programs listed.
By comparison on just that, AA has multiple credit cards (just in the USA), multiple car rental partners, dozens of hotel program parteners, plus lots of other kinds of ways to earn miles that LAN doesn't seem to have.