Several organizations, like small and medium enterprises (SMEs), are faced with the problem of implementing ERP systems in their organizations due to the fact that traditional ERP systems (Client-Server based ERP systems) could be unsuitable, could not be successful to implement or could even end into a disastrous initiative. This paper proposes three alternative approaches for organizations to select from based on security rate, investment level and organizational size. The paper introduces the cloud computing technology in order to represent new non-traditional approaches for ERP systems adoption. Finally, the paper addresses the comparisons between the three presented approaches.