I invest in 75% index funds, because of Random Walk Down Wall Street and all the related writing on the subject, and 25% individual stocks, largely for entertainment value. It's like WoW but much more time efficient.
Approximately 50% of my liquid net worth is Chipotle. I bought back in 2006/2007 and just held.
My other individual picks include Bank of America (yeah, ouch), Microsoft, and Nintendo. Chipotle more than pays for the shellacking I took on all the rest. It is ultimately irrelevant though as I still have 25 ~ 30 years before I'll start selling anything.