How are you attempting to uninstall the MS Java VM?  There's more to it
than just deleting files as you've found already since for example both
wjview.exe and jview.exe are protected from deletion by Win Me's State
manger (System File Protection).

What version of the MS JavaVM do you have installed as the last version
(3810) is not vulnerable to the Java.ByteVerify!exploit.  Have you cleared
your Temporary Internet Files (Control Panel | Internet Options | General

content)?

Try cleaning your system using Trend's Sysclean.  Download the following
Trend Sysclean Package from http://www.trendmicro.com/down­load/dcs.asp 
and the latest Trend signature files
(http://www.trendmicro.com/down­load/pattern.asp).  Create a folder on
your desktop, for example Trend, and place sysclean.com and the contents
of the Trend signature zip file in this folder.  Boot into Safe Mode and
run sysclean and delete clean any nasties it finds.  Boot back into Normal
mode and run sysclean again.  Once all is done and the system appears
clean cycle system restore off and then back on again so as to clear the
restore archive of any viral remnants.  Don't flush the restore archive
until everything is back working correctly just in case you need to use
system restore to undo any possible damage caused by running sysclean.