Depending on what sort of bike you want, there are many different options to choose from. If you want a sporty commuter, then bikes like the TVS Apache RTR 160 / 200 4V, Bajaj Pulsar N160 / N250, Honda CB300F and the Suzuki Gixxer models will be good options to consider. 

If you want a neo-retro bike, then bikes like the Royal Enfield Hunter / Bullet 350, Yamaha XSR155 and TVS Ronin will be the ones we recommend. 

If you want an ADV, then the Hero Xpulse 200 / 210 will be bikes that deserve your attention. 

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

The Bajaj Pulsar N250 you have shortlisted is a great option because of its smooth engine, plush suspension and great fuel economy. 

Other bikes you can consider are the TVS Ronin and Honda CB300F. The latter is similar to the Pulsar in its style and riding experience, but the former is slightly more cruiser-y in its styling. 

A test ride of all three should help you figure out which bike suits you best. 

Since this is your first bike, starting small and approachable would be the smart way to go about it. In that same vein, we would recommend the new Yamaha XSR155 because it is a light, comfortable, fuel-efficient machine that's also reasonably exciting to use. 

If you want a larger machine, then bikes like the Honda CB300F, Bajaj Pulsar N250 and Suzuki Gixxer 250 would be good options. 

Take a test ride of everything you shortlist before you decide. 

Since you have a commute that has some highway riding, we'll recommend bikes displacing 250cc or more so you can maintain decent highway speeds without feeling the engine is strained. 

There are loads of options in your price bracket, like the Royal Enfield Hunter 350, TVS Ronin, Honda CB300F, Bajaj Pulsar N250, Hero Xpulse 210 and TVS Apache RTX 300. 

Take a test ride of all the machines you shortlist before going ahead with your purchase. 

Since you have had a good experience with a Honda machine, you could stick with the brand and go with the Honda CB300F. The CB300F is light, comfortable, spacious and will return decent fuel economy. If you want to switch brands, the Bajaj Pulsar N250 and the Suzuki Gixxer 250 make for good upgrade options with their smooth engines and comfortable ergonomics. 

If you don't mind staying in the same displacement range while getting a significant performance bump, the KTM 160 Duke and Yamaha MT-15 warrant consideration. With their liquid-cooled engines and light weights, these two will give you the performance step up you want without sacrificing on mileage. 

Since you haven't specified your budget, we'll give you some options from both the same segment as well as one above. 

In a similar displacement and performance range as the FZ25, the Bajaj Pulsar N250 and TVS Apache RTR 200 4V are good options, and the Pulsar in particular has a great headlight spread. You should also look at the KTM 250 Adventure because it has more performance than your FZ, good highway manners and a bright headlight too. 

If you are open to stepping up to a 300cc machine, the TVS Apache RTX 300 will be a great option. It has even more performance than the aforementioned KTM. Moreover, its Top and BTO variants come with a very bright LED headlight that also has good spread and throw.

We recommend exhaustive test rides and seeing the headlight performance of each of the bikes you shortlist for yourself before going ahead with the purchase.