You need to test meat, wine, baguettes, cheese, crêpes, glaces Berthillon...
Neighbourhoods to ask for drinks and meals are
- le Marais (Chatelet: center)
- Mouffetard/Monge (center-south)
- la Butte aux Cailles (Place d'Italie: south)
- Oberkampf where the students drink (République: between center and north-east)
- around the Canal in the 10th more in the (Gare de l'Est to Bastille: north to centery-north-easty)
- Belleville (east)
Also of interest: https://github.com/abelards/how_tos/blob/master/paris.md (things to do)
These are in my "extra" budget so they're more expensive than normal meal but still affordable.
- le Pied de cochon (means "pig's foot": yeah, this is pork-heavy) http://www.pieddecochon.com/carte-et-menus/
- le Louchebem (meaning the name of a butcher's slang) http://le-louchebem.pagesperso-orange.fr/france.html http://le-louchebem.pagesperso-orange.fr/specialites.html
- I like the Épicerie Montorgueil epicerie-montorgueil.fr
Plus all the Marais and jazz clubs.
- lesronchons.fr near Notre Dame and the Tour d'Argent (menu: ~50€ without drinks)
- go for a Berthillon ice-cream on the Île Saint-Louis
- "Chez Rene" (14 Boulevard Saint-Germain, 75005) a typically french bistro; nothing fancy but great value for money. Presidents Mitterrand and Chirac came there.
- l'Aubrac for Aubrac meat
- comptoirnippon.com near Montparnasse (japanese teppan-yaki, 25-75€)
- "Bofinger" (5-7 rue de la Bastille, 75004) near the place de la Bastille (handy if you want to go out for drinks around Rue de Lappe). Ask to be seated under "la coupole". Don't mix up this place with "le Petit Bofinger" which is literally across the road and is nothing special (though the food is ok).
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La Fine Mousse www.lafinemousse.fr Metro 3 Rue Saint Maur / Metro 2 Ménilmontant 6 Avenue Jean Aicard, 75011 Paris, France https://maps.google.com/maps?q=La+Fine+Mousse+Paris
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neighbourhood: République / Oberkampf Metro République 3, 5, 8, 9, 11
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neighbourhood: Bastille Metro Bastille 1, 5, 8
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L'académie de la Bière acedemie-biere.com RER B Port Royal / Metro 6 Raspail 88Bis Boulevard de Port-Royal, 75005 Paris, France https://maps.google.com/maps?q=L+académie+de+la+bière+Paris
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neighbourhood: la Butte aux Cailles Metro 6 Corvisart / Metro 5,6,7 Place d'Italie / Metro 7 Tolbiac
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neighbourhood: Mouffetard / Monge Metro 7 Place Monge
Chatelet is RER A & B, Metro 1,4,7,11,14
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Au Trappiste (Chatelet-south: Place du Chatelet) 4 Rue Saint-Denis, 75001 Paris, France https://maps.google.com/maps?q=Au+Trappiste+Paris
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Hall's beer Tavern (Chatelet-Les Halles) 68, rue Saint Denis, 75001 Paris, France https://maps.google.com/maps?q=Halls+Beer+Tavern+Paris
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la Gueuze RER B Luxembourg / Metro 10 Cluny La Sorbonne 19 Rue Soufflot, 75005 Paris, France https://maps.google.com/maps?q=la+gueuze+Paris
- au Rendez-Vous des Belges Gare du Nord is RER B & D, Metro 4,5 23 Rue de Dunkerque, 75010 Paris, France https://maps.google.com/maps?q=le+rendez-vous+des+belges+Paris
Enjoy Paris!