Personally, I really like the way the Mini-14 handles.
But a Saiga fills a similar niche (modification required for more than 10-round magazines). It handles about as badly as any gun I've ever felt, since it's an AK with a trigger extension and a regular buttstock/pistol grip instead of an AK-style separate pistol grip. It comes in 7.62x39 and .308, though. Personally, I'd only get one if I planned to convert it back to AK configuration. It's just SO awful in terms of handling, balance, trigger and ergos as it comes, that I didn't want one AT ALL after I'd tried one at the range.
SKS is an option. It's a tad heavy, but 7.62x39 and can be fitted with modern-made stocks to make it more like a Mini.
Kel-Tec SU-16 is a really neat gun. It's .223, but takes AR mags right out of the box. That's a big plus IMO.
Then there's the AR. Prices are getting saner again. Check CDNN's catalog for some that aren't too bad.
The AK still seems harder to find, but it works, too.
If you can get by with 10 rounds, the Remington 750 might be of interest.