There's also Mediatek [1] who are very big with Chinese phones and a couple of the cheaper Sony phones such as the XA [2].

There's also the Kirrin line that are owned by Huawei [3] and used in their newer phones.

1. http://www.mediatek.com/

2. http://www.sonymobile.com/gb/products/phones/xperia-xa/#spec...

3. https://www.cnet.com/news/huawei-unveils-blazing-fast-kirrin...