I was thinking you would be served well by something along the lines of a Netgear DGND3700v1 with the aftermarket firmware from
http://www.richud.com/wiki/DGND3700_V1_Transmission_Firmware. That's what I am using at the moment and it's just excellent. Funnily enough, your requirements are very close to what I had in mind when choosing this setup.
http://www.richud.com/wiki/DGND3700_V1_Transmission_Firmware#VDSL2_.28FTTC.29 so it supports VDSL2 FTTC fibre from all UK providers including BT Infinity, TalkTalk and others. In terms of wireless speeds it has simultaneous dual band 2.4 GHz and 5 GHz (300mbps on each band) so that should be plenty fast.
The hardware is also quite strong: 5 gigabit ports, 2 USB ports, dual core Broadcom CPU and chipset etc.
Also it's made by Netgear and uses that same ReadyMedia/MiniDLNA which you say you are happy with and doesn't come with the 10 000 file limitation. The guy which makes this firmware also regularly updates these components to their latest versions so any bugs are ironed out.
Also, this firmware also supports Youview streams through "IGMP Proxy - (for IPTV [with VDSL services], modified with wl-500 oleg patches for 0.0.0.0/1 altnet)" as stated on the firmware page.
This custom firmware is designed to be reliable and deliver high performance compared with the
gimped stock firmware. It also provides some crazy functionality
like torrenting facilities (you can configure the router from a web interface to make it download torrents by itself to the USB drive then those torrents and other files can be accessed from any other PC), ad blocking, OpenVPN functionality, SSH and other services, PXE booting from the inserted USB drive (so you could boot up Windows, Linux distros, MemTest from any network connected PC) as well as having a ton of options for xDSL line control and extensive line parameters adjustments (for example, you can adjust the target SNR margin in 10% increments as well as other parameters easily).
Found a good listing on fleabay for a DGND3700v1 which has already been flashed with the latest version of this firmware here (
http://www.ebay.co.uk/itm/182292777747) so you don't risk bricking the router by converting it from stock to modified firmware yourself.
Let me know if you need more info about this setup, since I have it and I am very, very happy with the performance and it is
very reliable for my household under sustained heavy usage.