Disney is the perfect place for a babymoon! There's lots of opportunity for romance, with a taste of the family vacations to come :-)
At Disney World, there are lots of places to have dinner and lots of shows, but there are only three dinner shows. These are:
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Spirit of Aloha
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Hoop Dee Doo Revue
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Mickey's Backyard BBQ
I would skip the Backyard BBQ until you have kids; this is an event that is best enjoyed by families with small children. The other two shows are good fun for adults as well as kids. If I had to choose one, I would go with the Hoop Dee Doo. I prefer both the food and the show at that location.
There is one other dinner/show combination at WDW. This is the Fantasmic Dinner Package described
HERE. You are not eating and watching the show simultaneously, but rather the dinner allows you reserved seating at the show.
Enjoy your babymoon trip and the many family trips ahead.