What are good models to try for time series with multiple data points per time t?

I’m trying to predict a variable where the data changes day to day as the target date gets closer. Say it’s something like flights scheduled on a date, where as we approach the day of the flight, the number changes until it becomes final.

What models handle this type of scenario? I’ve used ARIMA before, but for time series with a single observation per time t.

data datascience good series time time series