"Has anyone got any suggestions please for a new internet browser for 10.3.9 on my iBook as my Firefox is apparently being phased out - I can no longer view MySpace and Youtube has a note saying my browser will no longer support the page... "
I, too, use 10.3.9, in my case on a PowerMac g4 MDD. Trying to use the last version of Safari for 10.3.9 (version 1.3.2) will result in an immediate crash if youtube.com is accessed.
I can use Firefox (DeerPark 1.5.0.4) to access youtube, but get the warning that the browser will soon be unsupported. It DOES, however, mention that I will still be able to watch videos there. It just says that some of the features of the site will no longer be supported.
I don't use myspace (or facebook), have no idea how they fare with 10.3.9.
As someone else suggested, you might try to locate a 10.4 "retail install disc" and upgrade to 10.4.11. You'll find that nearly all applications that worked with 10.3.9 will continue to run under OS 10.4.
In fact, the Safari update released in the past few days includes a version for 10.4.