Incidentally, that picture above vexes me slightly- I didn't realise Dead Romance was considered part of the canon, and despite my best efforts I've never been able to get hold of Warlords of Utopia.
Such volumes as you can get hold of are well worth the read. It was always going to be a challenge, creating what people first mistook for a Doctor Who spinoff without using anything that breached copyright. But actually, that previous sentence is irrelevant. This is not a Doctor Who spinoff in the true sense, this is the non-linear history lovingly constructed by Lawrence Miles and friends. You don't need veer to have watched or read or listened to Doctor Who in your life, in fact you'd come to the series with less cosy, muddy perception if you don't, or can mentally separate the two.
The problem thing about it being Mad Larry's universe is that this isn't for the intellectually faint of heart. The first time I read this series, which would be a couple of years after it came out (so say 2005-2006?) I honestly didn't get the background explanations on the nature of history as it intersects culture, ritual, and chocolate bar mascots. It's taken a few years for the concepts to percolate in my brain, but reading the series again now is way more rewarding.
Come and join me! Feel your brain flail in a very enjoyable way, encouraged along by writers who are possibly brilliant, but also write fascinating plots and characters and who obviously aren't writing these intelligent adventures of exclude anyone, but to bring everyone along and into a shiny new universe that they can't wait to share.