Not sure why you want to know what the favorite style of home is, for WHOM?! It is such a personal taste and it is different for everybody.
Some like older homes, some newer homes, some contemporary and some traditional.....
Well the majority of buyers, so I think depending on areas of search are looking for a 2 story home,
or similar, like split levels, tri levels, some upstairs and downstairs, stairs make a home exciting and different.
Then there are those who are really in love with a ranch and a huge basement, sprawling ranches
could be gorgeous --- and then we have the curb appeal and the age of homes.... so many choices and so many different tastes...
If you can share the reason for asking, I will be able to give you a better and more specific answer.
EdithSellsHomes@gmail.com YourRealtor4Life Working always in the very BEST interest of her clients Buyers Sellers and Investors alike, covering for @ Properties Brokerage the city of Chicago, all N and NW suburbs and the fine homes on the North Shore, and all of the US and worldwide offerings with my partner agents.... Edith speaks several languages ....
Have a great day :)