Any need for Phono stage with Brio

Is that a typo? Because it feels like you're asking about a better phono stage while saying MM when you already have a MM cartridge.
What exactly is the question?

The Brio has a pretty good phono stage.  The Phono MM would probably not be a big step up in quality (if at all).  You've got a nice, solid system there, and if you're looking for a better phono stage I would recommend something above the Phono MM.  

Best, Scott

The first question is how does your vinyl playback sound to you now? Are you finding flaws in the performance?

Second, will a stand alone phono preamp sound better than the built-in phonostage in the Brio? The answer is yes and no.
If you purchase an entry-level phono preamp or a mid level Rega, there would not be a significant increase in SQ. It’s a horizontal move.
For a significant upgrade, you would need to move up to the next level of sonic performance and build quality. Perhaps a tube phonostage would be in order.

With regard to your cartridge, you can do a lot better than the Elys. My advice is to upgrade to an external phono preamp when you're ready, but audition a couple at a retailer or purchase with a 30 day trial period.
Once you’re pleased with the phonostage, a cartridge upgrade should be next.

Many thanks for the replies, it has come about since reading some reviews etc and got me thinking about this when a Arcam rPhono was used with the Brio.

I am happy with the sound and enjoy what is played, vinyl sounds lovely and had listened to the Brio and Planar 3 with the Elys 2, I was a little skeptical with it after hearing what people had to say but for me (listening from Planar 1 upwards) this had a good sound as a whole.

The cart might be something that I upgrade but I have been looking at speakers recently also which will need to be in white as there appears to be more of a range these days compared to when I purchased mine.

Since you're pleased with your current system, your phonostage is fine. I agree with @viridian that a new  cartridge will be the most dramatic upgrade.

@viridian and @lowrider57 which one would you recommend I look at when the time comes?

I listen to a various array of music, a lot are second hand and the others are new. Range from Jonathan Wilson to Dance to Elton John and Blue Oyster Cult etc.. I do use a record cleaner too. Stereo and Mono.

I guess a budget would need to be set as the choice could out cost the system?

@viridian many thanks for that he makes a good argument towards the MP-200, looks like I might head that way too.. I guess my budget would be around £500