CeMar,

Great question..
To me a Soul Mate is one who makes us complete. In all matters of life so the physical would be included.
This is how Soul Mate is defined

Soul Mate. Ones true love.
Synonyms: alter ego, companion, confidante, friend, heart's desire, helpmate, kindred soul, kindred spirit, lover, one's promised, partner, true love.

The first alternative to this that popped into mind for me.
My ideal mate would be My Everything and I would be there Everything. This would encompass everything I wanted and desired needed and hoped for. But I don't know how a person would percieve being told I want to be your everything and I want you to be my everything. It may sound like you are trying to own them.
Then there is Significant Other. But I think you would have to state this as " I want us to be significant others in all aspects of our lifes" to make it entail all realms of a relationship.

Someone who is my soul mate,Lover,Compainion,and partner in life. One word that encompasses all of this hmm I don't know of just one word. But I will be interested in reading others responses to this.

Great question CeMar.