I realized a few months ago that I knew quite a few hanja (like almost 10) and I had done that with very little effort on my part. So, then I decided that I would work a little bit harder to learn a few more common ones. My life plan involves learning many languages, Chinese and Japanese being among the top of the list, so I might as well start learning early how to read them, it might help me in the long run.
Here are some of the basic ones I learned without much effort, between just being in Seoul, and going to Taiwan, Hong Kong and Beijing:
- (il) day, sun門- gate, door
- (mi, mei in chinese) beautiful, also the character for America... long explaination for that one, deserves another post.
- (wol) month, moon
- (jung) medium size, center, middle
- (Buk, bei in chinese) north西- (seo) east
- (saram, in) person
- (gyeong) capital
- (il) one
- (ee) two
- (sam) three
- (ship) ten口- (ip) mouth
女 - (yo) woman
大- (dae) big, great
小 - small
水 - (su) water
心 - heart
Then when I started to put more effort in, I learned a few more:
山 - (san) mountain
入- enter
王- (wang) king
出- exit
火- fire
Then you can start combining characters like 火 (fire) 山 (mountain) to make 火山 (volcano), or you can start reading the names of cities, like

-Beijing, sun
and moon
blend together to make 明(myeong- bright) as in myeongdong. I highly recommend learning some hanja while you're here. If you enjoy languaves, it will really help your understanding of the Korean language.