Voice message intro

What do you mean by "voice messaging introduction"? Do you mean the recording people hear when they leave a message? Or the prompts you hear before each message, like the time stamp?

I'm also annoyed by the long intro to each call, i.e. the repetition of each number that has called before you can hear the message.  Is there any way to eliminate this?

Page 8 of Cox Voicemail manual.

Settings – Message Handling
The Message Handling settings allow you to
customize how voice mail messages will be played
when logged in. It offers options for Header and
Body playback, and how to handle urgent messages
for review. Press the associated button, below, from
the Message Handling Menu to make changes.

Access path to message handling:

Main + 4 + 5

1 Urgent Messages First
Enable/disable the playing of urgent message at
the front of your message queue. The system will
announce the current status of the setting:
Press 1 to change the status
or 2 to leave it as is.

2 Automatic Message Play
Enable/disable the automatic playing of new
messages upon login. The system will announce
the current status of the setting:
Press 1 to change the status
or 2 to leave it as is.

3 Playback Options
This is the gateway for how to playback messages:
Press 1 to hear the message Header
only on playback.
Press 2 to hear the message Body
only on playback.
Press 3 to hear both the Header
and the Body on playback.