London is an exceptionally unsafe place for cyclists. I doubt it's anywhere near so unsafe as to make up all the difference between cycling and driving in those statistics, but I would guess it's at least 10x worse than the average, maybe quite a bit more.
... Ah, wait, I see you have other statistics saying 35 deaths per billion miles cycled, which would be about 21 per billion km, versus 11 per 100k km or 110,000 per billion km in London. So, apparently London is nearly four orders of magnitude worse than average. That's ... more than I expected. Have I misunderstood or miscalculated something?
That "11 per 100k km" figure says that if someone has a 2x5km commute in London that they do 200 days per year, they expect to die about 0.22 times per year; in other words, their life expectancy is a bit less than 5 years. I repeat, London is exceptionally unsafe for cyclists, but I think I'm going to defy the data here. Can it really be that unsafe?
[EDITED to add:] Some other figures I've seen suggest that serious injuries are maybe 20x as common as deaths. That means that my hypothetical 10km/day London cyclist should expect four serious injuries per year. Really?
There are some statistics on the Wikipedia Cycling in London page. For 2014 they report 13 deaths from 610k "daily journeys". Even if a "daily journey" is as short as 1km, that would be 13 deaths per 610k km, which is a lot less than 11 per 100k km. (Though still scandalously large.)
FWIW (a year later) I read the statistic the same way you initially did, but didn't do the comparison. Sorry! Thanks for doing the maths below and in the edit.
On ChrisHallquist's post extolling the virtues of money, the top comment is Eliezer pointing out the lack of concrete examples. Can anyone think of any? This is not just hypothetical: if I think your suggestion is good, I will try it (and report back on how it went)
I care about health, improving personal skills (particularly: programming, writing, people skills), gaining respect (particularly at work), and entertainment (these days: primarily books and computer games). If you think I should care about something else, feel free to suggest it.
I am early-twenties programmer living in San Francisco. In the interest of getting advice useful to more than one person, I'll omit further personal details.
Budget: $50/day
If your idea requires significant ongoing time commitment, that is a major negative.