A calendar with powerful alerts
Calendar Snooze can repeat reminders until you acknowledge them, forever. It works with the default Calendar app, and will let it keep syncing with google.

You can customize how often the notification repeats, how many times (including "Keep Repeating"), and you can customize two sets of reminders, for example repeating every minute for 5 minutes, and then ever 5 minutes for an hour. It can also use notifications, the LED, text-to-speech, and alert popups.

It also (as the name suggests) allows a very powerful snooze mechanism, with completely customizable snoozes.