Any alternatives to swapping rings?

you could perhaps exchange bracelets,  exchanging rings is not a legal requirement

gift givings can be very personalised and often can involve other family members or guests. You can get everyone involved or just the two of you!

For thousands of years,lovers have exchanged rings as a token of their vows.Those who marry traditionally wear rings as a visible,tangible symbol of their love and commitment.You can have alternative symbols in your ceremony such as bracelets, pendants,etc.

I once saw where a couple had tattooed rings. You could also give each other presents - Watches, Bracelets, something that is important to both of you. Wedding rings have not always been around as only the very rich could afford them, so whatever you both decide would make your ceremony perfect for you. 

There are many options. The jewellery suggestions by the other celebrants are great. I also had a couple who married on their country property and exchanged trees. 

Yes, not all couples swap rings

Could be exchange of jewellery such as bracelet, anklelet, locket, 

I know of a couple who had a yin and yang medallion which was clevery cut into two with an S shaped cut

These were threaded onto a chain for each and they placed them over the head of each to be worn as an symbol of the love

The exchange of rings is only symbolism of the commitment that each of you make to each other.

Alternatives can be many and varied so they are only limited by your imagination.  I have friends in the US who exchanged two Ford F250 Utes...hard to wear but awesome to drive.

So really it is a case of something which would be meaningful, something which would remind you every time you look at it, touch it, use it of that special day, that special person.  Handcrafted jewellery is certainly a beautiful way to go for starters.

You could give each other a gift which could be something meaningful and unique to you both or substitute a hand fasting ceremony instead of the ring ceremony.

I have seen a wedding where the bride and groom exchanged a favourite flower; also one where each partner lit a candle.

I had a bride who loved everything equestrian, instead of a ring the groom gave her a four sided 'dressage ring' bangle with diamond studs at the dessage markers. It was beautiful, and so appropriate.