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which is best xperia ZR or xperia Z
Xperia Z. It has a bigger screen, better specs, better battery, higher internal storage.
Dear find below link, this will give a better idea 
http://www.phonearena.com/phones/compare/Sony-Xperia-ZR,Sony-Xperia-Z/phones/7845,7539
ZR
shutter key, Good Matte Finish Body, compact to hold, Better battery than Z( actual Usage), Less Internal storage 8gb Vs 16 gb in Z.
Z
Bigger screen size as well as better pixels, Premium Finish, so Premium Services, (there are some cons on the glass body though), glass back not as hard as they brag about it. Getting better in every update. ZR really looks smaller compared to Z.
Common Issues in Both.
Mic, Less Sound, Bad call quality,
Verdict
Pay More get more internal storage, and bigger phone with full HD display,
Pay 10k Less and get almost same features.
best buy would be ZR money point of View, Z premium and stylish point of view..
Go for the Z1 as it has a similar design as the Z with a Camera button, water proof not just water resistant and a far better screen, camera sensor, lenses, housing materials, CPU/GPU. But if you must choose between Z and ZR I would go with the Z
What is difference between water proof & resistant ?
Water resistant means it can keep out water forms like rain and might be able to keep out water in a pool for a short period of time where water proof means it can withstand large amounts of water for long periods of time.
Which is best?
What features are important to You? 
There are well documented reviews of both.
Highlighting their respective key features, and main disadvantages::
Sony Xperia ZR review: Ready to dare
Sony Xperia Z review: Zero hour
Don't forget too, there are two versions of each:
Xperia ZR
Xperia Z
Make sure you choose the model that suits your mobile network. :smileysmileythumbsup: