TI: CC2541 (old, keep as central more than two connections, but checked)
TI: CC2640 (new, trendy, but there are bugs in the stack)
Nordic: nRF51822 (an old, proven, reliable)
Nordic: nRF52823 (new, lots of RAM, NFC)
ST: BlueNRG-1 (only recently announced, energy consumption is the best in peripheral mode)
Dialog: DA14583 (Dialogue Xiaomi your bracelets making, with horrible API)
There is a Toshiba, CSR, Cypress (a good way), Broadcom. In my opinion, only lazy today, BLE does not.
I can still see the Microchip or modules from Bluegiga (now Silabs). There is a scripting language and AT commands to control, it will be easier to take off.