The best replacement for 2checkout is authorize.net.

The best alternatives to 2checkout are rated as following:
★★★★★  authorize.net
★★★★  paypal
★★  google checkout
★★  plimus
★★  braintree
★★  moneybookers
★  clickbank
★  skrill
★  ccavenue
★  worldpay
★  alertpay
★  fastspring
  ccnow
  avangate
  paysystems
  paymate

Your alternative for 2checkout is not listed? Suggest!
Speaking about 2checkout, one probably shouldn't forget about virtuemart.

Other search terms related to 2checkout and their ratings are:
★★★★★ virtuemart
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Google Trends

Scale is based on the average worldwide traffic of 2checkout in all years. Click on graph for more.
2checkout
authorize.net
paypal