However can be used instead of 'but' for instance 'I would love to go to the party, however I have made alternative plans.'
Despite can be used as such. 'Despite all the criticisms I get from my teacher, I still appreciate her.'
'though' and 'although' can be similarily used. for instance 'You can come down this evening to pick up your order, though/although you would have to notify me beforehand.'