Thank you for the information administrator. The only issue is that this version of linux will be used by are sales team and we would not like them to have to bootup and go into the app browser.
tinycore gives you a lot of options, more than some people might originally suspect. there are times when having many options is confusing- right now you're new to tc and you can help yourself a lot by using appbrowser to obtain your extensions, using the "download only" feature. if you're new, this is a better way to download them.
once you understand how the extensions work together (it's not complex like it sounds) then it won't matter whether you use the appbrowser or any browser to download the .dep files and needed extensions. the fact that you're not doing this is probably why you're having problems with things like opera and other browsers, so that's one issue.
the other issue is that you can have a cd, with all your extensions added- without using appbrowser on each boot (but most importantly) without ever touching tinycore.gz. there are two levels of remaster, one puts things in tinycore.gz, you won't usually need to. the other level of "remaster" just adds extensions to the iso image/cd, that's probably what you want to do, and it's easier.