HOW CAN I ACTIVATE MY IPHONE 5S WITH OUT USING APPLE ID IN ACTIVATION MODE

SOURCE: Iphone Activation help

You can also PWN (jailbreak) it: here. I think it will activate i, not totally sure though.

SOURCE: how to reregister iphone 2g with no contract

First option is to put a legit sim card. - this will be a problem if you bought your iPhone from another country.
2nd option is to jailbreak and unlock your phone. - if you've upgraded your iPhone to version 3.1.3, there's a great chance that you won't be able to do this option.
3rd option is to use a turbo sim which you can find on eBay. check out some items i've searched for you. - this option will work only if you have 2.30 or lower iPhone software version.
other than those 3, i don't know anything more.
For more iPhone / iPod touch tips, click here or visit my blog.

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SOURCE: iphone activation

Find your solution from the list,
Apple Iphone Smartphone
Codes:

• Unlock Code,
• Password,
• Puk Code,
• Lock Code,
• Other Codes.

• Software Problems (Hang, Youtube etc.)
• Hardware Problems (Display, Charging etc.)

SOURCE: Can I get the Apple iphone 5s in the same colors

The iphone 5s only comes in three colors, you have the choice between grey, silver and gold. While the iphone 5c comes in brighter colors like pink and yellow.

SOURCE: Does the new Apple iphone 5s work on all the cell

In the US the iphone 5s is compatible with AT&T, sprint, t-mobile and verizon. You can order it from Apple unlocked to work on other networks if you wish.