For nouns:
* -ibility: accessibility (the quality of being easy to access)
* -ion: accession (the act of gaining access)
For verbs:
* -ing: accessing (the act of gaining access)
For adjectives:
* -ible: accessible (capable of being accessed)
The most common suffix used to create words related to "access" is -ible. However, the most appropriate suffix will depend on the specific meaning you want to convey.