It looks like your waiting for your two year old daughter to grow up and show some initiative instead of yourself. Your the adult, handle it like one. She'll scream and cry and thats ok. Don't encourage her that she can get things by making a scene. Toss her on her bed and don't let her come off it until she calms down. Then have another activity ready for her to do. Kids this age will happily play with such things as lincoln logs and big legos for hours if you just sit by them and read a book and maybe get them interested in the activity by doing it with them at first. Have a sippy cup of water nearby so she can't bother you by whining for a drink, and feed snacks and meals at regular intervals to avoid the drama that swinging blood sugar levels can cause. If she can't eat without tv, fine. Skipping a meal won't starve her She's not entitled to tv just because she's been let to watch it a lot lately. If you let her sense of entitlement grow now, who knows what she'll be throwing fits to do when she's a teenager. Just because she feels like she should be able to, because she wants to? Your the adult, take the responsibility. A day or two of screaming and fighting the new house policy will be a lot less grief in the end.

Parenting Advice
http://www.pre-kteachingtools.com/article2