i5 4460 Good IGPU?

[Im____]

Hello! How good is this build?
i5 4460 3.2GHz
4GB DDR3 1333MHz
Gigabyte GA-H81M-S2V
Intel HD 4600
I will play mostly Minecraft,CSGO and League of Legends.

What graphics card do you recommend me to buy for this pc?

 

[Chugalug_]

Your build is very unbalanced., realistically you could have gone for an i3 and gotten very similar performance. :/
If you have a 64 bit copy of windows, get 4GB of the same RAM, and an RX 460.
http://www.newegg.com/Product/Product.aspx?Item=N82E16814125898&cm_re=RX_460-_-14-125-898-_-Product
Have you made your PC yet?
You've also left out some components and are using an outdated platform.
I'll post a build in a sec.

 

[Chugalug_]

Get this.
PCPartPicker part list / Price breakdown by merchant

CPU: Intel Core i3-6100 3.7GHz Dual-Core Processor ($110.99 @ SuperBiiz)
Motherboard: Gigabyte GA-H110M-A Micro ATX LGA1151 Motherboard ($49.99 @ Amazon)
Memory: G.Skill Ripjaws V Series 8GB (1 x 8GB) DDR4-2400 Memory ($33.99 @ Newegg)
Storage: Western Digital Caviar Blue 1TB 3.5" 7200RPM Internal Hard Drive ($47.49 @ OutletPC)
Video Card: Gigabyte Radeon RX 460 2GB WINDFORCE OC Video Card ($118.99 @ SuperBiiz)
Case: Azza Cosmas ATX Mid Tower Case ($19.99 @ Newegg)
Power Supply: Corsair CXM 450W 80+ Bronze Certified Semi-Modular ATX Power Supply ($49.99 @ Amazon)
Total: $431.43
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2016-08-28 09:53 EDT-0400

 

[Im____]

My budget is only $250

 

[Chugalug_]

You're asking how good a build is, but do you already have the i5 and other stuff?
Yes or no?