Hi Joe, welcome aboard Filipino UK

That last link appears to be a Beta link.

The usual link is on this page called Applying for a UK visa in the Philippines

If you look to the RH side you'll see 'Do It Online - Apply for a visa online"
Seems that's a broken link though.

Your best bet is to contact either the British Embassy or alternatively VFS to find out what's going on.
The form you'll need is the VAF4A
That's one of those generic 'one-form-fits-all'

I've not recently checked out the online process so can't make any updated comment.
Posted somewhere but can't remember where.