Paddy is reopening his version of the Bistro in December, conveniently next door to the New Everyman in the Annexe.
I would highly recommend Maray on Bold Street. Serves falafel and other Israeli/Middle Eastern food to an exceptionally high standard.
If you have tried your Tesco style falafel do not be put off, this stuff is amazing compared to your supermarket crap.
Great taste; nice portions; top cocktails (even for your stereotypical male!). The atmosphere is friendly too.
Also the owner and chef are both big Evertonians who in the past frequented another famous Everton board. So football talk is good.