How can I print all unicode characters?

Use unichr:

s = unichr(i)

From the documentation:

unichr(i)

Return the Unicode string of one character whose Unicode code is the integer i. For example, unichr(97) returns the string u'a'.

You'll want to use the unichr() builtin function:

for i in range(1000,1100):
    print i, unichr(i)

Note that in Python 3, just chr() will suffice.