I have a drafty old farm house and a love of plants - here are a few things that have done well for me. Most of mine are in east-facing windows as those get the best light at our location. I especially love things that are easy to propagate or are cheap/easy/free to acquire as they let me test out different areas of the house to see where they do best without feeling as bad if I kill them sometimes.
Hoya - there are many vaireties with the most well-known being H. carnosa - aka wax plant or porcelain flower - a classic "bullet-proof" houseplant with succulent-like vines and shiny, dappled leaves that doesn't mind temperature swings as long as it has a chance to acclimate itself. Nostalgic and fitting for an old house as it was a popular victorian houseplant. Likes indirect light. Very easy to propagate from cuttings. Likes to be a bit root bound. If you have a hoya, don't trim the vines unless its getting out of hand - they grow naked-looking woody peduncles and retain them year after year, developing their flowers there when it's time to bloom. They also grow with long inter-nodes on the vines between leaves and then fill in as they mature so trimming them to get them to "bush out" is a bit counterproductive.
A lot of cacti and succulents are fairly cold hardy, just look up details on the species and where it's native to. There are infinite variations and they are very easy to grow, just get them some well draining soil and a windowsill and you're good to go. Mine occupy the windowsills and spots where light is too bright or temperature swings are too much for other houseplants.
Begonia rex comes with a ton of cool leaf variations. It's a tuberous plant that likes shallow, open pots and medium lighting. While it likes a little more moisture than some things, over-watering will quickly kill it. I let mine dry out between waterings and water again only when the leaves start to droop a bit and the soil feels dry down part the roots. It can be finicky about low humidity but I find misting helps, ours is on the same side of the room as our woodstove and does fine as long as it gets misted now and again. A lot of people grow it outdoors here as an annual ornamental so it's easy to find discounted ones at the end of the season. It's easy to propagate from cuttings so you can often snag a leaf if you see one you like while you're out and about. This goes for coleus too.
I don't tend to mess with anything that likes higher humidity than that, like ferns, because our air gets pretty dry in the winter. Luckily many things tolerate it well and even thrive. Keep an eye out for what you see growing in other people's homes and businesses and if you see something you like in similar conditions to yours, you can always ask for propagation material! This is where 99% of my houseplants have come from. Also read about historically popular houseplants, they were popular in times when homes were draftier and didn't have consistent heating so it fits your situation quite well.
If your light is good enough and you have something like a 16" pot you could even try something "crazy" like cherry tomatoes. Or really any perennial or semi-perennial plant that tends to be grown as an annual because of winter temps, is a good candidate for trying out indoors in northern climates. They won't produce like they would if they were outside, but people who say it can't be done at all, or that you need fancy grow lights, would be surprised what plants are capable of. They're very resilient!
