Judson's Burmese to English dictionary, which is still the only dictionary that has some of the archaic vocabulary found in old Burmese writings, is available for free at Google Book Search. you can view it onsite or download a pdf file. There are several editions available:
1. 1826 edition
2. 1852 edition
3. 1849 edition
4. Another 1849 edition
Judson's grammar is also available.
An old Anglo-Burmese dictionary from 1852 is also available.
Keep checking back at the Google Book Search Burmese Language category, since new titles are likely to become available.
Judson's bible translation is also available online. Reading the English with the Burmese in parallel is good language practice.