And I think I know the one you meant, R,C. another of those ubiquitous K-Tel issues, but again, mid-70s as it carried a red K-Tel(rather than a Majestic) label. You got the title right, it was indeed "Best Of British". I'll upload as son as I can.
Actually, about mid-1970s, a two-LP set on the Columbia label, titled "History Of British Pop"(SOEX-9982/3) Featured brackets of songs by the following(numbers in brackets show how many tracks per artist or group): Cliff Richard(3); Dave Clark 5(5); The Animals(6); Georgie Fame(3); Manfred Mann(4); The Hollies(4); Peter & Gordon(3). There's no copyright date on the cover or labels so I can't be sure exactly when it was issued. It belongs to a friend and I should be getting it back to him, but I had it so I could make a CD of it for him(it required 2 CDs to do so).
This label, Leedon, resurrected by EMI, rivals of the company that once manufactured and distributed the label on behalf of its owner, Lee Gordon, namely Festival, seems to have dug deep into the vaults of EMI in Britain for the contents of this album!(or else they've snuck into Record Collector's private vinyl stash![ha-ha!]) Either way there's a lot of rare stuff in this mix, though in compiling, I would not have an artist twice in successive tracks. I'd always break them up by having at least two other artists in between. The worst examples are B7 through to B10, all Shane Fenton. To this end I would've added a few more acts, like Helen Shapiro and other female acts to break up the all-male line-up of this album.