Hi F.,
My son is like that too, he wants to be distracted by something else while eating, since he was a baby. I really really dislike having the TV on while eating. Here are some alternatives I tried:
-It helps when we sit together to eat, and also he does not have any problems at daycare when all the kids sit together to have snack or eat lunch.
-Talking or telling stories while eating. Talk about the food you are eating, what is on the table, what you did that day etc.
-Encourage him to eat himself. Put little pieces of food he can pick up himself, or give him a spoon to feed himself.
-Listening to music while eating is just fine.
-Sometimes I let him play with the food on the table, within limits of course.
-Read a book, look at its pictures while eating.
-If nothing else works, we bring a little toy to the table, although I dislike this, I still think it is better than TV!
Now that he is bigger (2.5 years old) and able to feed himself, we rarely need any of these.
Good luck!