SQLite gets the last one but misses on the first two (although WAL and the improved read-only support in 3.20+ mostly gets #1). DuckDB might be decent except that you would need to connect through the daemon to read if the daemon is running. If a daemon that coordinates everything is okay, something like Clickhouse might work.
An LSM-style layer over Parquet gets all of this fairly naturally as long as readers using third party tools understand the LSM scheme. (In general there is a lack of consensus as to exactly how to correctly and efficiently use multiple Parquet files together.)