An app I really wish someone would invent is one that tells you, in real time, which government office queues are short and lets you book a slot for any public service. I'm a thirty-five-year-old small business owner in Dhaka. I run a printing shop, and I spend a ridiculous amount of time waiting in offices.
I imagine it would be used by almost everyone, from students applying for passports to farmers registering land, and especially people like me who have to deal with licences, tax certificates and trade permits regularly.
Here's how I think it would work. Each government office would connect to the app, showing how many people are waiting and the average waiting time. You'd choose the office and the service you need, see a list of the documents required, and book a time slot. You'd get a text message when your turn was getting close, so you could wait in a nearby café rather than standing in a corridor for four hours. It would also have a simple checklist, so you wouldn't arrive and discover you'd forgotten one photocopy.
I think it would be incredibly useful. Last year, renewing my trade licence took me three separate visits, mainly because nobody told me which documents I needed, and each visit wasted half a day. Multiply that by millions of people, and you're losing an enormous amount of working time across the country. It would also reduce crowding, help elderly people who can't stand for hours, and probably reduce the chances for people to ask for bribes to jump the queue. The only problem would be getting every office to keep the information updated honestly.