1. (Map, Phone Book, Weather) in Switzerland:
http://www.search.ch
http://www.mybasel.ch
http://dict.leo.org(Translation)

2. Shopping
1) Online Market in Uni Basel:
http://markt.unibas.ch/

2) Asian shop:
a) cross of Reihenstrasse and Rheinfelderstrasse
b) neighbour of SBB(Switzerland railway station)

3) 2nd hand shop:
a) claramattweg 16
b) Rappoltshof 12
c) or every Sat. in Petersplatz (in Univeristy library) that is outdoors
flee market.

3. Traffic
SBB:
http://www.sbb.ch/
DB:
http://www.bahn.de/p/view/index.shtml
BVB Timetable:
http://www.draemmli.info/tramfahrplan_e.html

4. Some useful Chinese web info on Switzerland.
1) Chinese Embassy in Switzerland:
http://www.china-embassy.ch/chn
2) Office of Education of Chinese Embassy in Switzerland:
http://www.edu-china-embassy.ch/
3)  
http://www.swissinfo.ch/chi/index.html
http://www.acssz.ethz.ch/
http://www.cuz-online.org/cuz_cn/forum/main.php
http://www.swissant.com/forum/
  
5.
Cheap Calls
http://www.budgettarife.ch/index2.php?character=C&t=character
http://www.raptel.ch/index2.php#C
http://www.teleswiss.ch/rates.php#C
Cheap IP phone:
www.raptel.ch
www.helvatel.ch
www.voipstunt.com

6.
Internet:
http://www.cablecom.ch/
http://en.swisscom.ch/residential

7.
House Hunting:
http://www.homegate.ch
http://www.immoscout.ch
http://www.immohit.ch
http://www.unibas.ch/markt

8.
Lauguage learning in Basel university and other swiss universities: 
www.eth.ch (The Swiss Federal Institute of Technology (ETH) in Zurich)
www.unibas.ch (The University of Basel)
www.unibe.ch (The University of Bern)
www.unifr.ch (The University of Fribourg)
www.uni-freiburg.de (The nearby University of Freiburg in Germany)
www.unige.ch/en (The University of Geneva)
www.unizh.ch (The University of Zurich)

9.
Health insurance:
http://www.swisscare.ch
http://en.comparis.ch/comparis/versicherungen.aspx

10.
Haircut:
there is relatively cheap place that is about 15 CHF.(check
attached file, indicating by black arrow)
another one is in Barfusserplatz called "only 20" which is about 20CHF.
or you could go to Germany border in Marktkof where is quite close to
Norvartis Headquater.