The cartridges you listed are pretty solid in my opinion even for the states.
While I love the 30-06, the 270 Win is no slouch and will handle pretty much everything I suspect you will encounter on your side of the pond plus this side.
Bear would.. might cause pause depending on type, Black I'm positive you will put down with a 270. Brown, Alaskan, Polar, etc I would feel more comfortable with the 30-06 to the .338 offerings. Just a opinion.
In the rimfire game the 21 sharp is a new cartridge, actually offered by Winchester because of the lead ban, but actually has yet to prove itself (not enough owners). The concept is good as it is kind of taking a note from the 22WMR. Just making the bullet smaller for use in the 22LR case versus using a heeled bullet. Although if one looks one might find a similar offering in the 22 WMR, such as lead free bullets. The .222 Remington that AWS mentions for the lead ban, is also a solid choice to replace the 22WMR.