Animated background for title screen

Could you provide a video to show us what do you mean? It would be really helpful so we can know what you nees exactly.

How would someone go about making a animated title screen then lead to another screen .Like they did with Destiny(Video Game).

Sorry about that Destiny Start and Loading Screens - YouTube

Ok thanks ill try one of those methods that should help out alot thanks for the quick reply!!

You are welcome , if you need specific help to any of those steps feel free to ask.

Thank you. Ok the way I would do is :
a) Create a widget
b) Use an already created background on another software or possibly use a short video of like 3 seconds duration which is looping . An easy way ,actually the one I am using in the game I am working on , is record a short video from a gorgeous scene of your game that has little movement in it ,like trees with slowly moving leaves from the wind etc.
c)Use a vignette picture in png format and adjust it (z order) so its over the video-like background. Then you can play with its opacity from the event graph so you get the fade in effect
d)About the letters and the logo you should do the same way as c) step about the opacity.

Well in my opinion this is the easiest way to go ,meaning you need to work on another programms to get a result exact like this (to create the animated background or the logo) . Probably there is another way to achieve it through unreal engine 4 ,but this should be really a headache and it is going to need much more effort to do .

I hope I helped you and good luck .