One of the first policy that i should have bought is a life
policy which covers Death and Permanent Disability, and Critical
illness. Another one to consider is Medishield and Healthshield
(from AIA) is also good. cos it gives good hospitalisation coverage
at pretty low premium.
(Unfortunately, I made the mistake of buying a endowment policy
first. Now i'm considering whether to terminate it and get a Life
policy instead.. 
)
I dun mind buying from another company if it gives a good coverage
and complements my current policies. Esp, when some packages are on
promotion. I think one of the important thing is to find an agent
that you can trust, ie.. they are not in it to sell policies just
to make commisions..