Creative Civil Wedding Ceremonies: traditional, contemporary or unique
Conducted by New York Certified Marriage Officiants*

*all officiants certified by New York City Marriage Bureau:

Here is a Medieval wedding, based on the Book of Common Prayer of Elizabeth I, and other sources, primarily by W. J. Bethancourt III. The sources used were are Book of Common Prayer of HRM Elizabeth I of England, extracts from the Sarum and York Rite.
We have adapted this ceremony to a civil ceremony, without religious references. As Martin Luther and other reformists changed the legal institution of marriage back to a civil from a religious responsibility, it is appropriate to use or adapt this ceremony as a civil ceremony. I have also updated the gender-related aspects,  including the 'giving of the bride', and other hold-overs from arranged marriages.

[n.b. I'm a descendant of Martin Luther's daughter, Magdalena. I trust he'd approve.]

There was a great exhibit in 2008 at the Metropolitan Museum of Art in New York called Art and Love in Renaissance Italy, which explained that marriages were always civil affairs, not religious - and the most important part of the wedding was the handshake (or fede) which signaled the contract between the couple (and, of course, their family properties).  When the Church made marriage a sacrament, at the Council of Trent, the church became involved in the legal ceremony. But Luther changed this back, as we noted above.
Updated from 16th Century sources

At the day and time appointed for solemnization of Matrimony, the persons to be married shall come together with their friends and neighbors; and there standing together, the Man on the right hand, and the woman on the left, [with their sponsors standing betwixt them], the Celebrant shall say:

Dearly beloved, we are gathered together here in the presence of this company to join together this Man and this Woman in Matrimony; which is an honourable estate into which holy estate these two persons present come now to be joined. Therefore if any man can shew any just cause, why they may not lawfully be joined together, by the Laws of the Realm; let him now speak, or else hereafter forever hold his peace.

And also, speaking unto the persons that shall be married, the Celebrant shall say:

I require and charge you both, as ye will be judged when the secrets of all hearts shall be disclosed, that if either of you know any impediment, why ye may not be lawfully joined together in Matrimony, that ye confess it. For ye be well assured, that so many as be coupled together otherwise than the law doth allow are not joined together; neither is their Matrimony lawful.

If no impediment be alleged, then shall the Celebrant say unto the Man,

N., Wilt thou have this Woman to be thy wedded wife, to live together in the sacred estate of Matrimony? Wilt thou love her, comfort her, honour, and keep her, in sickness and in health; and forsaking all others, keep thee only unto her, so long as ye both shall live?

The Man shall answer: I will.

Then shall the Celebrant say to the Woman,

N., Wilt thou have this man to be thy wedded husband, to live together in the sacred estate of Matrimony? Wilt thou love him, honour and keep him in sickness and in health; and forsaking all other, keep thee only unto him, so long as ye both shall live?

The Woman shall answer: I will.

Thus ends the formal betrothal.

They shall then advance unto the Altar [or front of place, standing before all those assembled], led by the Celebrant, who shall then turn to the assembled company.

The Celebrant shall say:

Who gives surety that they are good and true friends of this couple, and that they will give aid and comfort and support to this man and woman in the joined life they now undertake? Those persons shall now bring forth this couple to be wed.

[and the supporters shall place the Woman's right hand in the hand of the Celebrant, and the Man's right hand in the hand of the celebrant and then retire.]

Then shall they give their troth to each other in this manner:

The Celebrant shall cause the Man with his right hand to take the Woman by her right hand, and to say after him as follows,

I, N., take thee N to my wedded wife, to have and to hold from this day forward, for better for worse, for richer for poorer, for fairer or fouler, in sickness and in health, [to be hale and hearty, at bed and at board], to love and to cherish, till death us depart, and thereunto I plight thee my troth.

The Woman shall likewise say after the Celebrant,

I N. take thee N to my wedded husband, to have and to hold from this day forward, for better for worse, for richer or poorer, in sickness and in health, [to be bonny and buxom at bed and at board], to love and to cherish, till death us depart, and thereunto I plight thee my troth.

Then shall they again loose their hands; and the Man shall give unto the Woman a Ring, And the Celebrant shall bless the Ring(s) in the following manner:

Bless these Rings, that those who wear them, that give and receive them, may be ever faithful to one another, remain in peace, and live and grow old together under their own vine and fig tree, and see their children's children. So be it.

And the Celebrant, taking the Ring, shall deliver it to the Man, and taught by the Celebrant, he shall say,

With this Ring I thee wed, (here placing it upon her thumb) and with my body I thee honor, (here placing it upon her index finger) and with all my worldly goods I thee endow; (here placing it upon her ring finger)

If it be a double-ring ceremony, let the Woman do the same as the Man, giving him the ring, and repeating the same words as he.

Then shall the Celebrant place hands upon their joined hands and say:

May every blessing and grace be upon this man and this woman, so these persons may surely perform and keep the vow and covenant betwixt them made, whereof this Ring given and received is a token and pledge, and may ever hereafter remain in perfect love and peace together, and live accordingly.

Those whom are joined together let none put asunder.

Then shall the Celebrant speak unto the people.

Forasmuch as N and N have consented together in sacred wedlock, and have witnessed the same before this company, and thereto have given and pledged their troth each to the other, and have declared the same by giving and receiving of a Ring, and by joining of hands; I pronounce therefore that they be Man and Wife together.

And here the Celebrant shall turn the couple to the Company, and they may kiss each the other, and then proceed together from the Altar.