It's really hard to answer your question because it depends what rice is replacing in your diet. I wouldn't necessary say it's the healthiest possible choice to eat rice every day. It's healthier than eating french fries every day, but probably not as healthy as eating steamed broccoli every day.
If you are going to eat rice every day, I don't think brown rice has much if any health advantage over white--it may even be worse as some of the commenters have mentioned. In general, rice is a high-carb food. Compared with other high-carb foods, it may not be the healthiest choice. I would rate sweet potatoes or even white potatoes healthier, as long as they are boiled or steamed, because they are less likely to spike your blood sugar and they fill you up more. They also have more vitamins and minerals per calorie.
But in general, it's better to think of your diet as a whole rather than specific foods. For example, my potato theory goes out the window if you melt a half stick of butter on it or fry it. If you want a healthy diet, start by eating lots of vegetables. If some of them are raw, or at least not fried in oil, all the better. Other healthy foods include legumes (lentils, chickpeas, kidney beans), fruit, nuts and seeds (especially hazelnuts and almonds), fish (especially wild salmon or tilapia) and lean poultry, and extra virgin olive oil. If you are eating a good amount of these other foods, there is certainly room for some higher-carb foods (potatoes, rice, etc.), but I wouldn't make them the base of your food pyramid.