The name says it all...
Lamsa Bible Online - English Peshitta Translation (OT)
This is Dr George Lamsa's famous Peshitta Old Testament English translation (click here for NT). I believe it is the best complete translation of the Peshitta. From The Deluxe Study Edition of the Modern New Testament from the Aramaic, by Dr George M. Lamsa.
With generous permission from the Aramaic Bible Society (August 2005). Please do not copy these documents as they are still under copyright.
Note: To skip to a certain chapter in a book, use your browser's search function to look for "2:1" for chapter 2, "40:1" for chapter 40, etc.
Dr George Lamsa Bible - Miscellaneous Information
Dr George Lamsa's Holy Bible: From the Ancient Eastern Text is perhaps the best complete Peshitta New Testament translation and Peshitta Old Testament translation (both in English).
The Peshitta OT is the Aramaic translation of an ancient Hebrew Old Testament version (and possibly superior to the current accepted Masoretic Hebrew version). The Lamsa Bible utilizes this version.
The Peshitta NT is potentially a contender for being the 'original New Testament', if such an original even existed. The Lamsa Bible utilizes this version, containing the 22 books shared by the Eastern Peshitta and the Western Peshitto, plus the five extra books (2Peter, 2John, 3John, Jude, and Revelation) that are included in the Western Peshitto.
Buy it in hardcopy (and with footnotes) here:
Note that Lamsa's version is certainly not perfect. Unfortunately, he let his personal beliefs affect his translations in places, and often keeps in line with the overrated KJV. Nevertheless, it is a great resource. Hopefully Lamsa's translation will be released into the public domain soon, like the Younan, Murdock and Etheridge translations. All these versions are freely available at the Aramaic Peshitta Bible Repository.