It's difficult to find good bridal abayas on the Internet, so I would suggest that the best way is to have one tailor made. However, these 'split' abayas could be ideal for a bride on the go, and can be worn with white/coloured trousers underneath, and matching accessories. They are a nice alternative to a traditional abaya:
And for those who do want to wear a white abaya, a plain one can be worn with a decorated veil or wrap around the shoulders - you can find beautiful ones in Asian fabric shops. The third abaya here also has an interesting Chinese style. Gorgeous with a Malay style bridal hijab!
There's is no need to stick to white either, experiment with different colours! The first picture is a stunning off-white brocade ensemble. And I love the colour of the second abaya - very summery!