Welcome to Android Central! Which phone, and which calendar app? The stock Calendar or Google Calendar?
Open the Calendar app, tap Menu>Settings, and look for an option to choose which calendars to sync. You can often choose not to sync certain calendars, which then won't show up as calendars that you can display.
I always recommend using your Google Calendar account if possible, since those events sync automatically with your Google cloud, keeping the information safe. Avoid the "My Calendar" that is associated with the Phone account, since those events don't sync anywhere automatically, and are therefore vulnerable to loss if something happens to the phone.