We loved staying at El Rincon de Aurora! Aurora met us in person to check us in and provided lots of local tips and recommendations for our time in Seville as well as a handy list of foods to try, in both Spanish and English.
The apartment itself was perfect for the two of us and was large enough that we could have had at least one other person with us. The neighborhood is quiet and is just a very short walk (10 min or so) from there to the main old town.