If you don’t feel a real stretch from those (I don’t either), here are some more advanced versions of them. Like I said before though, know your limits and don’t push yourself further than is safe.

Deeper pigeon poses:
Eka Pada Rajakapotasana (One-Legged King Pigeon Pose) | Yoga Asana Columns | Yoga Journal
King Pigeon Pose | Yoga Poses | Yoga Journal

Inversions are very cleansing
Upward Facing Two-Foot Staff Pose | Yoga Poses | Yoga Journal
Plow Pose | Yoga Poses | Yoga Journal (good for backaches)

For hamstrings
Big Toe Pose | Yoga Poses | Yoga Journal
Revolved Head-to-Knee Pose | Yoga Poses | Yoga Journal

These are more difficult core strength poses, if you can achieve the full pose and hold it for 15+ seconds then you have a pretty strong core
Firefly Pose | Yoga Poses | Yoga Journal
Crane Pose | Yoga Poses | Yoga Journal

As for the asian crouch/baby squat/whatever else, it's also called a yogi squat I think most exercise disciplines have a different name for it