Looking for a good computer under $700.00!

Hi so I've taken the liberty of filler out a q&a of the most common questions people ask!
What is your budget?
Less than $700

What size notebook do you prefer?
Ultraportable (11 - 12-inch screen)
Thin and Light (13 - 14-inch screen)
Mainstream (15 - 16-inch screen)

What brands do you like or dislike?
Like: ASUS, Dell, Lenovo
Dislike: HP

What are the primary tasks you need this notebook for?
Web Surfing, Office and Productivity Software, Listening to Music, Light gaming

Main games that will be used are Minecraft type games. Want to run with no issues.

Where will you be using this laptop?
I it will mainly be stationary but I will be moving it around so nothing big, bulky and heavy.

How many hours of battery life do you need?
Just enough to get by writing on word for a few hours max.

Will you be buying online or in store?
Either or.

Which OS do you prefer?
Windows 7 or if have to be windows 8

List the screen resolutions that interest you:
Standard Resolution (1366 x 768)
High Resolution (1600 x 900)

Is the laptops design important to you?
Yes

Approximately what date will you be buying this laptop?
Soon

How long do you want this laptop to last?
3 years

How much storage capacity do you need?
320 GB

Are you interested in SSD for storage?
If possible for my budget

Do you want a built-in optical drive, what type?
Not a requirement but wouldn't mind it if possible. Only need to burn CDs and DVDs.

I have a HP pavilion dv7 right now that is 2 years old and I don't know why but ever since I've had it interface has run perfectly fine but running basic games has been an issue. Funny enough running something like battlefield on basic res and stuff works fine! Really messed up computer..... I'm interested in solid state if possible and really I don't need any storage at all, just enough to store about 15gb music and general things like Microsoft office. Cost effective as possible is great also! Just want a decently fast computer which can handle the above!
For Minecraft for example I would like be able to run high FPS no far if possible.

Thanks for your contribution!

Ps: Don't have to find all computers at $700 like if you know of any less than this, that is perfectly fine too!