Tusker House - Character breakfast, this is must do for us, and we really enjoy the options here for breakfast, and we have always had great character interaction.
Rain Forest at AK - Has breakfast, this is a great option and a way to start your "Safari" at AK, We had breakfast here last on the July 4th weekend, great food and service.
If wanting to be there at Rope Drop, I would go the QS option at your resort, or bring some breakfast bars to tide you over then grab a late breakfast or early lunch. My crew can not eat really heavy 1st thing, so this works out for us.