Reporting my numbers from last week. Again for LH 710. Plane touched down around :52 or :55. After taxi and being in the rear of the C class cabin of the 380 it was 8:07 by the time that I saw the first clock. I was out by 08:16. I must add that after the long walk from gate 46 (or wherever 710 parks) at the far satellite, that I caught up with and passed the F class pax with escort.
Again, that means that I missed the 08:10 bus to Shibuya, the Skyliner (departing exactly that time, I think), the 08:13 NEX. Last time I experimented and took 08:40 Heiwa-Kotsu bus for 1000 yen. I don't know why, but I opted for the 08:50 slowpoke NEX. It was about 10 min delayed. This is the second time I have taken the "commuter" NEX and it has been 10-15 min delayed both times. Not because it actually picks up passengers. One person got on my car during the journey. Although this might be a bit late for most office workers.
The Skyliner is probably the best option at that hour, although I wonder how bad the Yamanote is at 09:00ish. But there is a huge gap in the schedule for over an hour at that time of day. They run these other trains like "Morning liner", which are much slower and it's better to take bus.