Universal FLV Player is the solution to load video files (flv and other formats) from your phone and to browse such websites.
It also offers you a help option which you can use to configure plugin on your phone that helps make it work if your phone is not supported for these files by default.
Supported formats:
FLV
FLA
SWF
SWT
SWC
Other video formats:
3GP
MPEG
AVI
WMV
M4V
And more...