It would seem that we have a disagreement about how the term "arranged marriage" is defined
The Cambridge Dictionary gives the following definition:
a marriage in which the parents choose who their son or daughter will marry
By this definition the marriage need only be arranged by the parents of one spouse-to-be, not both. As such, if a daughter's marriage partner is chosen by her father then as far as she is concerned, it is arranged, regardless of whether or not she knew her husband-to-be beforehand. Her only choice is whether to agree to the marriage or not.
That said, I consider both the definitions of Cambridge and Oxford to be lacking.
Sun Myung Moon was well known for the marriages he arranged and conducted en mass. These couples were matched by him as a religious leader without any input from the families of the couples. Yet seeing some of those married did not so much as speak the same language as one another, yet alone know anything of one another, such marriages could hardly be called anything else other than arranged marriages could they?
Whilst it may lack academic respectability, Wikipedia is often more accurate in defining concepts such as this because it is able to be edited by anyone due to the discussions which arise surrounding how such things are best defined. It's article on arranged marriage begins by saying that it is one where the bride and groom are selected by a third party rather than by each other. It goes on to say that the third party may be
parents, a matchmaking agent, matrimonial site, a religious leader, relatives, family friends or another trusted third party.
Regarding Adam & Eve, Genesis 2:22 says that God brought her unto the man, not unlike how a father bring his betrothed daughter to her groom. As such, I disagree with you regarding this because our first parents had no choice whatsoever in whom they would marry seeing the first they knew of one another they were being married by God.
The marriage of Dinah and Shechem (which didn't go ahead due to his death) was arranged by their fathers, with her brothers having some say in the matter (Genesis 34).
St Paul, in 1st Corinthians 7:36-8, speaks as though it is the right of a father to choose whether or not and to whom his daughter should be married.
It is heartening to know that you come from a culture where lads ask the father before asking the bride. Yet in some ways I can't help but think it a pity that this shadow of the process of arranging marriages is now considered conservative.