Address Field or Text Fields with Auto-Complete?

From the Address Field project page, the module does:

• Standardized storage of (international) postal addresses based on the xNAL standard [the same format used by Google Maps for geocoding]
• Per-country edit form and formatting of addresses

But a normal text field keeps whatever you put into it as it is.

So, in short, address field organizes the info in a structure which is suitable for addresses.

If you want some other detailed operations on your addresses, like getting country data, or formatting, etc., then you need address field.

for example, you can use Address Field for this recipe:

http://drupal.org/node/1714680

or this one:

http://drupal.org/node/1365574

or this one:

http://drupal.org/node/1637658

or this one:

http://www.istos.it/en/blog/mapping/openlayers-and-addressfieldis

and so on:))

but if you'd like to try a custom recipe, you may choose simple textfield too:)

by the way, you may customize your Address Field by this module:

http://drupal.org/project/addressfield_tokens