There are no safety standards as such for bassinettes or cradles ( I used a cradle for Isabelle and researched them. There are a few things to consider though.


The mattress is firm and fits the bassinet correctly. The mattress should not be too high (or thick), because the baby may be too close to the top of the bassinet and possibly fall out.
There is good ventilation in and around the bassinet.
Any wheels or castors on the stand are lockable. If the bassinet has 4 wheels, at least 2 wheels should be locked or 2 wheels can be removed.
The bassinet fits correctly on the stand. (Some bassinet stands are also designed to accommodate a baby bath. However, only use stands that have been specifically designed to hold a bath, because a full bath of water and your baby are quite heavy!)
The bassinet is still strong and that there are no missing or broken pieces (especially if it is borrowed or an heirloom). Make sure it has not been painted with lead paint.
The bassinet does not have decorative beads, or at least ensure that these are able to be removed, as they are potential choking hazards.
HtH. Also you may like to check out the Sids and Kids site - and go to safe sleeping as they have lots of info there too.