Cree and GE not available in Europe, but most of the other brands are. 
Sylvania/Osram, Hue, IKEA Tradfri, LIFX, Zipato, and Aeotec are all available in the UK.
You can use Hue or the Tradfri with the hue bridge. It does cost a little more to go that route, but if you use zigbee bulbs which connect directly to the SmartThings hub, including hue bulbs connected without the bridge, it can cause problems with messages from your other devices.
INNR bulbs when attached to the hue bridge should work with SmartThings, but be aware that they will cycle through multiple colours when changing from one to another, and this can be annoying. ( see the Amazon reviews for more discussion.)
I personally use the Hue white bulbs with the hue bridge for most places, and have been very happy with them. You don’t get colour changing, though. At a typical £15, these are very competitively priced. One bridge can support up to 40 devices, so the extra cost for that depends on how many bulbs you’re going to have.
https://www.amazon.co.uk/Philips-White-Single-Light-Works/dp/B0152WXI0E/
Then I personally use Hue RGBW strips in a few places where I want colour, but different things work for different people.
Options without a bridge
LIFX are a Wi-Fi bulb and don’t have the same issue. Their “mini” size bulb costs less, although it’s also not as bright.
https://www.amazon.co.uk/LIFX-Mini-Dimmable-Required-Assistant/dp/B0753SGLCC?th=1
The Z wave bulbs like Aeotec also don’t have the same issue, so that’s another good option which will not require a bridge device.
So you have a number of possibilities, although they are all fairly expensive.