Alcatel Onetouch Idol 3 (4.7-inch)
Alcatel, who typically makes cheap smartphones that aren't all that great, changed things up in 2015. The Idol 3 was surprisingly nice, but as the company got better the new Idol 4 had a higher price tag. Meaning the 3 is still your best bet in terms of cheap.
In late 2015 they announced the Idol 3 with a 4.7-inch display and a wallet-friendly $179 price tag to take on Motorola. It's still available, often for just $119, and is still a good phone if you're on a tight budget.
It has a fast quad-core Snapdragon 410 processor with 1.5 GB of RAM, 16GB of internal storage and a micro-SD slot. The dual front facing speakers sound quite impressive, and it has two good cameras. A 13 megapixel rear and 5mp front setup. Sadly the battery is only 2,000 mAh, so the G4 might be a better route.
The battery is the weakest link, but with a smaller display battery life shouldn't be too bad. This phone is sleek, runs great, sounds good, looks premium and doesn't cost an arm and a leg. It went on sale a while back, and there's even a 5.5-inch model that can sometimes be found for around $200 right now too.
Or, get the new Alcatel Idol 4 with a free VR headset from Cricket. It typically costs $200 with an activation, but is often on sale for just $99. Otherwise the 4s costs too much for this list. The Idol 3 is still a great all around device.