From Clinique I always shop online on their official site and you can pick minis of the moisturizers, lipsticks and the sizes are very generous. If I am not wrong you can pick 3 minis.

From Estee Lauder I shop at their counter at the mall - last time I went there, I bought one foundation and one liquid lipstick, the lady gave me a whole tube of lipstick, one mini eye brown pencil and two minis of a hand lotion. I didn't ask for samples or anything. I have also purchased the same foundation from their official online store and I also got a whole tube of lipstick, a little bag full of minis. It was so much stuff that I was actually impressed!

From Kiehls - I went there to repurchase a moisturizer and a face wash. The lady was super sweet and helped a lot. In the end she asked me if I wanted to try their mini masks and mini spot treatments. She gave me about 20 minis.

I never ask for minis, but when I go to the store I always ask many questions about the new stuff. Maybe that's why they offer me samples and minis?