Google Calendar will send you a daily agenda, but it's at 5:00 AM the day of. This agenda macro (in Google Apps Script) lets you trigger an agenda email to any address on any time interval.

mailAgenda.gs

/**
 * Gets tomorrow's events and sends along an email agenda.
 */
function mailAgenda(){
  // Configs.
  var config = {
    firstName: 'Brad',
    email: '[email protected]',
    ignoreRecurringEvents: true
  };
  
  // Create a Date object for tomorrow (as long as this doesn't run close to midnight).
  var tomorrow = new Date();
  tomorrow.setDate(tomorrow.getDate() + 1);
  
  // Fetch the events for tomorrow (from the default cal for the account running this macro).
  var events = CalendarApp.getDefaultCalendar().getEventsForDay(tomorrow);
  
  // If there are events, construct and send an email.
  if (events.length >= 1) {
    var emailBody = '<p>Hey ' + config.firstName + ', here are the events you have tomorrow:</p><ul>';
    var singleEvent = '';
    var thisLocation = '';
    var recurringEvents = 0;
    
    for (var i = 0; i < events.length; i++) {
      // Don't need to know about stuff that always happens.
      if (!config.ignoreRecurringEvents || events[i].isRecurringEvent() === false) {
        singleEvent = '<li><strong>' + events[i].getTitle() + '</strong> ';
        
        // Location is not a required field.
        thisLocation = events[i].getLocation();
        if (thisLocation.length >= 2) {
          singleEvent += 'at <em>' + thisLocation + '</em> ';
        }
        
        // All day events give midnight start and end times, so just make this nice.
        if (events[i].isAllDayEvent() === false) {
          singleEvent += 'from ' + events[i].getStartTime().toLocaleTimeString() + ' to ';
          singleEvent += events[i].getEndTime().toLocaleTimeString();
        }
        else {
          singleEvent += 'all day';
        }
        
        // Close and append.
        singleEvent += '</li>';
        emailBody += singleEvent;
      }
      else if (config.ignoreRecurringEvents) {
        // Check later whether all events that day are recurring
        recurringEvents++;
      }
    }
    emailBody += '</ul>';
    
    // Send email with the general mailer rather than gmail.
    if ((events.length - recurringEvents) >= 1) {
      MailApp.sendEmail(
        config.email, 
        config.firstName + "'s Agenda for " + tomorrow.toDateString(), 
        'You have at least one event tomorrow.', 
          {
            noReply: true,
              htmlBody: emailBody
          }
      );
    }
  }
};

weekOldInbox.gs

function processInbox(){
  var label = GmailApp.getUserLabelByName("Week Old Inbox");
  var nowDate = Date.now();
  var threads = GmailApp.getInboxThreads();
  for (var i = 0; i < threads.length; i++) {
    var threadDate = threads[i].getLastMessageDate();
    threadDate = Date.parse(threadDate) + 604800000;
    if (threadDate < nowDate) {
      threads[i].addLabel(label);
    }
  }
}