SVDO, SVLTE. Newer phones that offer?

SVDO is rare. It requires two CDMA radios, two amplifiers, and two antennas to use it. Add in the need for LTE and you essentially need 3 of everything, and on top of that, it murders the battery. You know you have SVDO when you can get simultaneous voice/data over 3G (CDMA) without a LTE signal present.

On Verizon, phones that support simultaneous voice and data over LTE are being branded as "Advanced Calling 1.0." If this is what you're looking for, here's the list of their currently compatible phones:

• iPhone 6
• iPhone 6 Plus
• Galaxy S5
• LG G2
• LG G3 (coming soon)
• Moto X (2014) (coming soon - fall update confirmed)

More phones will be announced soon (both new and exiting devices).

However, I mistakenly assumed that you were interested in Verizon due to your question about "Droids." I sometimes forget that some people use this term to refer to Android phones in general. If you wish to remain on Sprint, they're rumored to be targeting a mid-2015 start to their Voice over LTE rollout. This will enable simultaneous voice and data on their upcoming LTE devices. I am guessing that any Verizon device supporting it now with a similar model on Sprint would likely get an update to support it. That's not a guarantee though.