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osm2lanes
Discontinued A common library and set of test cases for transforming OSM tags to lane specifications
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InfluxDB
Power Real-Time Data Analytics at Scale. Get real-time insights from all types of time series data with InfluxDB. Ingest, query, and analyze billions of data points in real-time with unbounded cardinality.
area:highway was already mentioned, but I'll add: https://github.com/streetcomplete/StreetComplete/releases/tag/v41.0 Street complete can measure the width of roads. Obviously it won't be as exact as highway area for intersections, but it's likely faster and easier. I personally haven't tried it out yet.
A recent talk covers why this is hard, and possible steps forward. Slides, video. There's active work going on in osm2lanes and another piece we're spinning out for geometry, if anyone's interested in working on this