Paul Corfield wrote:

The other option but perhaps a tad more risky but without all the diving
underground is to just go straight out the front of Euston and take a
10, 30, 73, 390, 476, 91 or 205 bus from the bus station to Kings Cross
- the 30, 73, 205 and 476 stop additionally outside the Thameslink
station while the others are about a 2-3 min dash along Pentonville Road
from their stop to the station entrance.

Whilst they *used* to stop directly opposite Kings Cross Thameslink, the
Eastbound bus stop has been relocated within the last six months or so
so it's now between Northdown Street and Killick Street, *after* the
King's Cross Road / Pentonville Road junction.

Cheers,

Barry