This is not intended as a definitive list, but here are details of places that I personally know about for food and accommodation.
 

ACCOMMODATION

Les Cloches
2 Place de l’Eglise
18310 GRAÇAY
Tel: 02 48 51 20 38
Website: http://www.lesclochesgracay.com
Email: lesclochesgracay@gmail.com
Proprietors: M et Mme Sparks (English)

La Coudre
18310 GENOUILLY
Tel: 02 48 52 25 03
Website: www.la-coudre.com
Email: debbie@la-coudre.com
Proprietors: Debbie and Richard McGarry

For other accommodation you can try this site which has hundreds of places to stay:
http://www.gites-de-france.com

RESTAURANTS

Chez Josette - Café Des Sports
Le Bourg
36210 ANJOUIN
Tel: 02 54 40 64 61
Proprietor: Josette Léger

Traditional cuisine at lunchtimes only. Closed Fridays.
An evening meal can be arranged by request

Mon-Thur: 11 Euros - Menu Ouvrier
(set menu of 4 courses with wine)

Sunday lunch: 20 Euros
(4 courses from a selection)

Auberge de Genouilly
Rue du Bas Bourg
18310 GENOUILLY
Tel: 02 48 52 10 22
Email: lag.vanspall@tiscali.fr
Proprietor: Adrian Van Spall (English)

Traditional cuisine

Mon-Sat: lunch 11 Euros - Menu Ouvrier
(4 courses from a selection with wine & coffee)

Friday & Saturday evening, Sunday lunch
15 Euros Menu (by reservation only)

Le Bazellais
21 rue Jean Viallard
36210 SAINT-CHRISTOPHE en BAZELLE
Tel: 02 54 40 66 85

Closed Wednesday

Traditional cuisine

11 Euro Menu du Jour (exc. weekends & holidays)

Weekend menus 14 Euros to 22 Euros

Les Deux Pierrots
9 rue Nationale
41320 SAINT-JULIEN-sur-CHER
Tel: 02 54 96 40 07
Proprietor: Thierry Bordin

Closed Monday & Tuesday

Haute Cuisine

Menus starting from 20 Euros

There are many places to eat locally, the above few are just the closest to us. Alternatively, you can look for other restaurants on the two website links below:
http://aurestaurant.com
http://www.pays-de-valencay.fr/sejourner/default.asp?t=4