In the 350cc category, bikes like the Royal Enfield Hunter / Bullet / Classic 350, Honda CB350 trio and TVS Ronin - which is smaller but has comparable performance - are our top picks. Pick the one you like the look and riding experience of the most because all bikes are proven machines that will last you a long time. 

If you want something with a low seat height, the RE Hunter (790mm), Meteor (765mm) and Goan Classic (750mm) are your best bets. 

A test ride will help you decide.

Since you have mentioned you are looking for retro-styled, easygoing motorcycles with occasional two-up riding, here are your options. First and foremost, you should take a look at the Royal Enfield Hunter 350. With its low seat height and fairly manageable size, the Hunter will prove welcoming for a smaller person like yourself and will have decent comfort with two people onboard. 

For similar reasons, you should also consider the TVS Ronin. It is also a much lighter machine than the Hunter, which will give you confidence when riding the bike, especially with a pillion. 

If you want something with an even lower seat height, then bikes like the Royal Enfield Meteor 350 and Goan Classic 350 are what you should be looking at. They have good suspension, but owing to their feet-forward riding position, a lot of the jolt gets transferred to your back over bad stretches of road. 

A test ride should help you decide which is the correct bike for you. 

If you want to stick to the cruiser format, we would recommend the Royal Enfield Meteor 350 (seat height: 765mm) and the Royal Enfield Goan Classic 350 (seat height: 750mm). 

Do bear in mind that these bikes - while fairly low - weigh close to 200kg, so you will need some time to adjust to their weights. If you're open to another form factor - more specifically, a sporty-looking street naked - we would steer you toward the Honda CB300F. 

That's because with its light 153kg weight and approachable 789mm seat height, it will be a very manageable bike. 

Take a test ride of everything you shortlist before making the final decision. 

The Royal Enfield Meteor 350 has one of the lowest seat heights in the class and is a bike that will be good for shorter riders to get comfortable with. We would also recommend taking a look at the Royal Enfield Goan Classic 350 because that has a seat that's lower still. 

Take proper test rides before you decide. 

Since almost all of your usage is going to be in the city, going for the Royal Enfield Classic 650 doesn't make sense because its rear suspension is quite stiff, and in traffic, its 243kg kerb weight will be a task to deal with, especially considering the way the engine will splay your legs out. You are right to worry about fuel efficiency because the 648cc twin is not very fuel efficient at slow city speeds, especially considering the bike's 243kg kerb weight. 

The Classic 350 is a lovely bike to use inside the city with its upright ergonomics, plush suspension and torquey, soulful engine. The Goan Classic is also something you can take a look at if you like its custom bike look, although it does trade off a little bit of practicality and comfort to the Classic. 

Considering your budget, height and build, the retro motorcycles we would recommend are the Royal Enfield Meteor 350 and Hunter 350. Both have low seat heights, and the lighter Hunter is also more manageable inside the city. If you like the way it looks, you may also consider the Goan Classic 350 because it has a low seat, which will be helpful for your stature. 

The Honda CB350 trio are also a good city-focused neo-retro model but they have a seat height of 800mm or more, so we'd suggest taking a test ride to see which one fits you best.