There are a variety of banks that you can sign up to in South Korea, and for your benefit, we have compiled a list of just some of the most popular options and their contact details.
Busan Bank

Busan bank has 212 branches and was established in 1967 by Kang Seok-jin.

CEO: Jang Ho Lee

Homepage: Busan Bank

Address: BUSAN BANK HEAD OFFICE, 830-38, BEOMIL 2-DONG, BUSAN

Hana Bank

One of the biggest banks in Korea, it was ranked as the 93rd biggest financial institution in the world in 2008.

Hana Map Branch Information:  http://hanabank.chzero.com/english/top.jsp

Telephone: 82-42-520-2500

Hana Bank Customer Center: 1599-1111

Homepage:  http://www.hanabank.co.kr 

Kookmin Bank

Also known as KB, this is the largest bank in Korea.

Address: 9-1, 2-ga, Namdaemoon-ro Jung-gu Seoul 100-703 South Korea

Telephone: 82 2-317-2890

Homepage:  http://www.kbstar.com/

Korea Exchange Bank

Also known as KEB, this is another one of the larger banks in Korea.

Head Office Address: 181, Euljiro 2-ga, Jung-gu C.P.O Box 2924 Seoul 100-793, Korea

Telephone: 82-2-3709-8080

Homepage: http://www.keb.co.kr/main/en/

Nonghyup Bank

This bank is an agricultural cooperative and it was founded in 1961.

Homepage: http://www.nonghyup.com

Shinhan Bank

Historically speaking, this was the first bank in South Korea.

Address: Seoul Finance Center, 1F 84, Taepyungro 1-ga, Jung-gu, Seoul 100-768, Korea

Telephone: 02-773-3131

Homepage: http://www.shinhan.com/en/index.jsp

Woori Bank

This one is my bank and I cannot say I have had any problems thus far.

Head Office Address: 1-203 Hoehyeon-dong, Jung-gu, Seoul, Korea

Telephone: 82-2-2008-5000

Homepage: http://www.wooribank.com/