I use Avocado oil; it has a high smoke point and seems healthier. Other oils are OK if you don't cook on high heat (use medium heat or lower).
Also, recently I think I read that coconut oil may not be as harmful as thought earlier by some (my guess is people thought it was harmful because it congeals at a higher temperature than other vegetable oils do). But on the other hand, people in coastal states like Kerala, Tamil Nadu, etc., must be using it a lot, and I have not read about them having higher cardiac problems.
All this is just anecdotal, BTW.
I use either butter or a butter/canola blend for most stovetop cooking and generally use an olive/canola blend for breadmaking, with the exception of pizza crust which is oil-free.
Partially hydrogenated oils were also popular for deep frying (they last longer).
It's one of the reasons that packaging got more annoying in recent years.
In addition to consumer preferences, the FDA called for a phase out in 2015: http://www.fda.gov/ForConsumers/ConsumerUpdates/ucm372915.ht...
For example:
https://www.generalmills.com/Health/improving-health/reducin...
The consumer preference things is real too. Here's Kraft working to avoid "trans fats" on their labels in 2005:
http://www.foodnavigator-usa.com/Suppliers2/Kraft-slashes-tr...