Info stolen shamelessly from Oskar Lodar.

If you're new, run the three beginner arcs listed below and you'll collect 6 +1 Implants, 4 frigates, and several skillbooks including the Salvage skillbook from the business arc. Run the 2 missions for the Tutorial agent first, then the 10-mission arc from the Event agent in the same station. You can run the arcs for all four races.

Amarr:
Business: Conoban
Military: Deepari
Industry: Pasha

Caldari:
Business: Jouvulen
Military: Uitra
Industry: Todaki

Gallente:
Business: Trossere
Military: Couster
Industry: Clellinon

Minmatar:
Business: Embod
Military: Hadaugago
Industry: Malukker

Useful links:
http://eve.grismar.net/ore/full.php
http://www.eve-production.org/invention/index.html
http://home.broadpark.no/~tijohann/eve/missions/
http://www.evegeek.com/mission.php
http://joonicks.eu/eve/lpstore.php
http://eve.grismar.net/explorer/index.php