Ok, I do not play this kind of music but I know exactly what you are talking about. I usually get sick of certain music if I keep playing it again and again and again. Especially, songs like "NY NY" and "Feelings" are big time favourites with many people and they keep requesting them. I like the melody of "Feelings" big time because it has tons of minor chords.
The solution for this is to rearrange it. If you play it in the framework of Jazz, try playing it in a classical framework or easy listening (ballads) ... and vice-versa. Improvise with the melody, ADD STRANGE DIFFERENT BRIDGES and SEPARATERS!! It works all the time with me. Another thing, stop using the same styles for your songs. Spend the time and energy to create new styles, or modify a little a new style. I guess creativity has no limit.