Are you able to buy Sony Phones? If so I can recommend the Xperia 10 IV* (size is like iPhone 12/13 mini but longer/taller) for it's 22.75hr rated daily battery life averaged between web browsing on WiFi and video playback based on measurements by Notebookcheck. I'd say a browsing-video average of 20 hours or more is ideal but any phone with at least a daily longevity of 17.5 hours is decently good.
I would recommend the iPhone 13 Pro, the iPhone 14/14+, and any iPhone Pro Max for similar battery life, but even the iPhone 11 & SE costs 17,000TL/900 USD in your country
Assuming Sony Xperia and iPhones are out of reach for you there's also these:
From Samsung.......
- [19.9hrs] Galaxy A23*
- [19.9hrs] Galaxy M23*
- [26.6hrs] Galaxy M51*
- [20.1hrs] Galaxy M53
From Xiaomi.........
- [18.5hrs] Mi 9T*
- [19hrs] Mi 10 Lite 5G*
- [19.4hrs] Mi 10T Lite 5G*
- [21.8hrs] Mi 10T 5G
- [21.7hrs] Mi 10T Pro 5G
- [20hrs] Mi 12X
- [19.75hrs] Mi 12T Pro 5G
- [19.5hrs] Redmi Note 9T 5G*
- [20.45hrs] Redmi Note 9S*
- [18.9hrs] Redmi Note 9 Pro*
- [18.8hrs] Redmi Note 10S*
- [19.3hrs] Redmi Note 10*
- [17.75hrs] Redmi Note 10 5G*
- [19.9hrs] Poco F2 Pro*
- [19.4hrs] Poco X3 NFC*
- [18.2hrs] Poco M3 Pro 5G*
- [19.5hrs] Poco M5s*
Here are all the smartphone models from Samsung, Apple, Sony, and Xiaomi-Redmi-Poco I could find on Notebookcheck with an browsing-playback average daily battery life of 16 hours or more:
https://www.notebookcheck.net/index...&specs[]=326343&specs[]=332302&specs[]=332480
You will need a dongle DAC-AMP on any of the smartphones phones I've recommend and listed above to comfortably drive headphones with impedances higher than 65-80ohms.
And regarding not wanting to "charge an extra device" there are many wired DAC-AMPs that fit into pockets and are powered directly from your smartphone not to mention the USB-C to 3.5mm adapter you'll be using anyway if the new phone does not have an audio jack -- the ones from Apple & Samsung are the best if you need spares.
There are of course MANY highly rated headphones both cheap/budget build/affordable and decently expensive/premium build/pro-enthusiast that can be powered within the 16-80ohm range and thus without the need for an external dongle DAC-AMP. Some of my favorites include the Samson SR850, Meze 99, Beyrdynamic DT 770/880, Altiat Cal.1H, and a bunch of IEMs (aka "premium Chi-Fi earbuds").
Hope this helps!
* these smartphone models have a 3.5mm headphone jack