BBV (Varunastra)

From Tardis Wiki, the free Doctor Who reference
A Doctor X VHS with the BBV logo on the side. (WC: Varunastra)
You may be looking for the real world BBV Productions.

A Doctor X VHS belonging to Giles had the BBV logo on the bottom of the spine. (WC: Varunastra)

Behind the scenes

While Varunastra confirms that BBV Productions exists within the DWU, the placement of the logo on the spine does have some ambiguity surrounding it, as it could mean that the in-universe BBV produced the series in the 1950s or were simply responsible for distribution of the VHS tapes.