If you don't want a touch screen then don't touch the screen
haha
Anyways.. Is there any reason you want a Lenovo? And for $700 you likely won't be able to get the best laptop for gaming but for minecraft it should be fine. An i5 with a 940M GPU would be ideal for that price point but Lenovo doesn't offer anything near that.
The only laptop that would suit your needs i the MSI GP60 in my opinion.
It took me a while to find a store that had it but I found one
http://www.microsoftstore.com/store/msca/en_CA/pdp/MSI-GP60-Leopard-665-Signature-Edition-Gaming-Laptop/productID.312529800
EDIT: Store I linked is for Canadians only and unfortunately that price/product is not available to Americans. After further research, people have said that minecraft is mostly CPU demanding so all you will need is a laptop with an i5/i7 and 8GB of memory. A Lenovo would be fine for that.
http://www.newegg.com/Product/Product.aspx?Item=N82E16834318424&cm_re=lenovo_laptop-_-34-318-424-_-Product
And if you want a 1080p screen:
http://www.newegg.com/Product/Product.aspx?Item=9SIA7AB2HW0096&cm_re=lenovo_laptop-_-1TS-000E-00246-_-Product
The higher the resolution, the less FPS you will get.