At the moderate level, Community Media Starter Kits add CiviCRM to the mix which substantially increases the requirements to run the configuration. While it's possible to get CiviCRM configured on a $6-8 a month "hosting hotel" plan at popular hosts like Bluehost or Dreamhost, you will likely experience very slow page loads or pages that don't load at all on that type of configuration..
http://civicrm.org/aboutcivicrm
Apache 2.0+
PHP 5.3.3 with PCRE support
MySQL 5.1.x+ with InnoDB support
128mb PHP memory limit recommended
http://wiki.civicrm.org/confluence/display/CRM/Hosting+provider+information
http://book.civicrm.org/user/current/getting-prepared/hosting/