If you swag the chandelier, you could get a fabric chain cover in a color that blends into the ceiling. I also think a vertical canvas painting would look nice in place of the mirror.

The kitchen has pendant lighting. The flexible fixture was one I was thinking about for the dining area. Would you center the fixture with the table or the mirror - Unfortunately they are not the same. That's why I was trying to find something asymmetrical to balance the look. However, I am concerned about the look being too contemporary to blend with my furnishings.

I would suggest removing the vase on the stand and moving the console table to the left so it is centered.

Center the light to the table.

The sideboard and mirror are centered. The table has to be a bit off center for the major traffic path to the kitchen. New furniture is not an option so I am trying to come up with the best solution for what exist.

The track with drop fixture over the table would work and i would like that more than a small swag that just brings your eye to the fact it is not centered.. I would lose the mirror as it is reflecting nothing worth seeing twice and get a great piece of art that will also draw your eye , something like this would be a nice transition between the lighting styles

Another possibility is to use a ceiling medallion that is large enough to cover the existing junction box yet allow you to hang a fixture centered over the table. Some medallions have some hollow space inside, rather than fit entirely flush on the ceiling that would allow space for the fixture wiring to travel from the junction box to where you want the light fixture to hang. I would center the light over the table. Biggest issue with this idea is that the weight of light fixtures is typically supported by attaching to the junction box. Without a junction box directly above, you will have to insure a secure mount for the weight of the fixture. Regarding budget constraints, the cost to relocate a junction box should be minimal. The bigger cost is patching the ceiling drywall, texturing and painting the ceiling so that you cannot tell that it has been patched. A ceiling medallion to cover the hole left by moving the junction box would eliminate the patch, texture, paint issue.

I did consider the medallion and even considered hanging a piece of shaped wood an inch down so the wires could be run to a center location, but the distances are too far. The junction box is about 22-24" from the center of the table. That would need a 44-48" medallion, a bit large on an 8 ft. ceiling. If the distance wasn't so far I think that would have been a good solution.

Patricia - Thank you for the picture of the track with the drop fixtures. Those drops are lovely. I think that some variation of that would work.