Is there any way to get a pop-up notification on my iPhone or iPad when mail arrives?

Solution 1:

With the release of iOS 5 mail can now appera as a pop up box style notifacation.

Goto Settings>Notifications>Mail> the choose "Alerts" in the alert style menu.

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you will then have something that looks like a message notification when an email arrives

Solution 2:

Give BoxCar a go.

I use it in a similar way for Twitter Direct Message notifications.

Solution 3:

I use a combination of Notify and Prowl, running on a spare Mac. I found so many other uses for Prowl, such as sending push notifications from a script.