Herbs for an east facing garden

Robmarston

I’d like to create a herb bed just outside my kitchen door. This is easy facing. We’re not overlooked so it is bright, but there is a single storey garage to the south. What would grow happily here? I’d like rosemary, sage, chives, lettuce etc. Would it be bright enough for these? If not, can anyone suggest other suitable culinary plants? Thanks. 

B3

Mint(keep it in a container of it'll take over), tarragon,thyme, bay

Fairygirl

Chives will also be no problem - they do well in shade anyway. Lettuce is the same - it tends to bolt if it has too much sun. I grow wild rocket which survives all year round and in very little sun. It's fab for bees if you let it flower. I have a clump which I keep purely for that, and keep pots of it by the back door for eating. I don't mind it after it's flowered either - but many people find it too bitter. 
The rosemary will also be fine, although may not grow as fast. Sage doesn't survive winter outdoors here, but I think  it would also be fine there 

Robmarston

I tried rocket before but found it really difficult. It bolted so fast and I got few leaves. That was in a very bright spot then though. 

Fairygirl

It's the wild rocket I grow Rob. Try that - and in a shadier spot, and see if it works 
I've probably got some spare seeds if you want them too.

Robmarston

That would be great and I’ll definitley try it. Haven’t built the garden yet but I could start them off in pots?

tessagardenbarmy

For the Mediterranean  ones like thyme,rosemary and sage treat them mean. Poor soil and good drainage.  Mine are all in pots and I bubble  wrap the pots in winter and put a protective fleece barrier round the top growth.  They survived  minus 15 the other year

raisingirl

As long as it's sheltered from cold winds, you'll probably be able to grow most things. Rosemary is the most difficult of your list to grow in a pot. It's a big plant - ok in a pot for a year but longer than that it'll either need a big pot or would be better in the ground, as long as it's free draining. It won't stand cold winds at all. The leaves burn and the branches snap very easily.
Chives grow more or less anywhere, I find, pots, shade, gravel between paving slabs, even clay soil.
Sorrel is easy as well (lemony taste, nice in salad in small amounts).
Sweet cicely grows in shade, useful culinary herb if you grow things like rhubarb or gooseberries.
The trick with rocket is to keep it watered, I think. It bolts when it dries out.
I've a green sage that's been in a pot for about 10 years. I do try to remember to water it now and then. That's the limit of the care it gets.
Marjoram will tolerate more shade that it's cousin, oregano.
A bay tree in a pot will be ok, again as long as it's not windy.
I have lemon verbena in a pot standing by an east facing wall. It's perfectly happy there but needs some extra protection in a hard frost (I brought it into an unheated room while the 'Beast from the East' was raging in March).
Parsley is happy in pots and won't mind east facing.

Thyme is the one common herb that really doesn't like any shade

Fairygirl

Most of my herbs are in pots Rob - but the wild rocket survives virtually anything.
I had a quick look, and I have some seeds, so let me know if you want any and I'll post them to you. 
I thought I'd lost the two main plants last year, after several spells of minus 7 and 8, but the main one sprouted again in spring. They take any amount of punishment by the winter weather here, and we get allsorts. The flowers have a honey scent and last forever too.  It's still flowering now.
This was taken a couple of years ago - it's massive now and spreads half way across the path, as well as sideways. I have to cut it right back, but it's hard to find the moment when it flowers so much