You can create an alert for any random event and then edit the event criteria to suit your needs. Hit the pencil shaped edit button next to the alert. The sample settings shown in the screenshot attached to this post will trigger an alert for any error generated on computer MYSERVER.
Keep in mind though that settings like this could trigger a lot of alerts, as an alert is generated for *every* instance of the event. Alternatively, you could create a report alert instead that lists the information you are after, though this will be sent on a schedule and not in real-time.