Gmail (free)... iMail (isnt) i'm assuming u ment mobileme since imail doesnt exist.
Chrome... Safari (Both are free and make zero profit)
iPhone OS... Android OS Iphone is proprietary and a closed system, Andriod is free.
iTunes... youtube (iTunes is proprietary and closed, youtube is free)
iCalendar... Google Calendar (ical is proprietary and google cal is free)
iPhoto... Picasa (must i really go on?)
iChat... Google Talk (you still dont get it)
Free vs proprietary software that only works with Mac, how is that competing? its like saying Mac OS vs Windows, there is no competition, Apple lost a long time ago in the OS market, all they provide now is another choice.