Which one's best the lenovo yoga 300 11.6ch or the lenovo miix 300 10.1ch?

Whichever YOU want!
What do YOU mean by best? Cheapest? Most expensive (i.e. Likely to be much "better")? Largest and heaviest - big screen to see? Smallest and lightest and easiest to carry? Longest battery life in standby? Longest battery life when playing videos? Brightest screen for the beach? Most disk space? Fastest disk? Most memory? Fastest CPU?

Lenovo has serious stand behind their product problems. They bought IBM PC division and proceeded to drive the quality of the system into the ground. Their customer service is well below par. They even makes Dell customer service look good. Lenovo Makes it hard to surf thru their site without signing up to find trouble shooting tips. Sometimes it is impossible to find certain things without giving them your email addy. The last and final thing to remember about them is they are a Chinese Government own company. It is up to you if you want to trust them. Lenovo also got caught shipping system with Adware installed on them called Visual Discovery by Superfish. It was a giant security hole that they intentionally installed for corporate greed.

http://www.wired.com/...superfish/

http://www.extremetech.com/computing/199628-lenovo-officially-responds-to-superfish-releases-list-of-affected-systems

http://www.zdnet.com/article/flaw-ridden-bloatware-put-nearly-every-lenovo-pc-at-risk-from-hackers/

Neither of those lappies are going to be able to play game and will barely do anything thing that requires heavy CPU or GPU power. They both come with very weak CPU and the GPU is from Intel. About the only thing you can do with them is surf the web, watch videos and write letters.