Don't know about "Organic" but Free Range ones do taste much nicer. Great Farm Shop in Termonfeckin, Co Louth (5 miles north of Drogheda). Well worth the extra few bob for Christmas. What location are you in?
Since I read about them a few years ago, I've been getting a free range Bronze turkey from a butchers, Lawlors, on Upper Rathmines Road, Dublin. Flavour is definitely the best. They're not produced in large numbers like the usual white ones but are probably sold elsewhere if you enquire. I order in advance and have never been disappointed. They are more expensive but definitely worth it compared to the usual tasteless varieties. You can read about them here or Google Bronze turkeys:
You can order organic turkeys here http://www.irishfood.ie/ you may need to phone in the order as I think the online service is for lamb only and you will need to collect.
I can vouch for the turkey, really really nice and NO comparisson to the muck in the shops
No connections just a happy customer and lovely people to deal with.
P