Also, what is this facetime equivalent you speak of, assuming you're not just talking about Skype?
Google Hangouts has let you make video calls for almost as long as Facetime. It's actually functionally superior to Facetime - it allows multiple people in the hangout (basically a conference call with just text, sound, or video, or any combo, also supposed to have a whiteboard feature though I never used it) across multiple platforms (phones, tablets, PCs; Android, iOS, Windows, OS X, Linux). Or at least it used to be. For some reason, Google is in the process of shuttering Hangouts and will be moving the video call feature to Google Duo, which is only available on Android phones and (as the name implies) only connects two devices - no more conference video calls.
Google's problem is they have a lot of great stuff that nobody knows about. They had a voice assistant before Siri, they just never thought of giving it a spiffy name and didn't market it so nobody knew it was on their phone. I only learned about it via the xda-developers forums. They moved Google Voice over to Hangouts a few years back essentially making every Android phone a VoIP phone, but they never said anything about it so nobody who wasn't using Google Voice before knew about it. Hangouts has been great because it combines multiple platforms - I can respond to short text messages on my phone, but more involved messages I can type up on my laptop since Hangouts shows up in my Gmail sidebar (which incidentally is also how you make video calls from PC). But they never even tried to publicize that capability, and are now in the process of dismantling it (Hangouts no longer combines SMS and hangouts conversations, and MMS has already disappeared from the PC, I expect SMS will go next).