Is there a plastic bowl/dish that can withstand high temperature in the oven?
Silicone bakeware is available which is oven safe up to 500°F/260°C. Just like other materials it has some advantages and disadvantages. 

Advantages:


Easy to clean rubbery surface (will need a little cooking spray, but not much)
Flexible, so easier to remove baked goods
Often fridge/microwave safe


Disadvantages:


Not very durable, due to softer material
Can be cut by metal utensils
Floppy
May warp or melt in some cases. 


Generally, I've heard very mixed reviews from bakers using silicone (except for Silpats). Although you can obtain it in the American market, most people prefer metal or Pyrex.