While you may generate a search that has over 1,000 results, you are only able to see up to 1,000 search results in Crunchbase Starter. This is a data limitation for all Crunchbase Starter licenses.
Adding more filters may help narrow down the search. If you have fewer than 2,000 results, you can sort your results by Company Name ascending then descending to capture all possible search results.
If you are interested in accessing the entire Crunchbase dataset, check out Data Enrichment to add valuable data to Crunchbase software or your internal tools, or Data Licensing, if you'd like to use the data in your own external-facing product.