To see if you can mine different coins with your miner, you should check to see if the algorithm of the coins are the same.
Although the mining algorithms of ASIC miners are fixed, multiple coins share the same algorithm. For example, among the coins that are supported by F2Pool, BCH, and DGB-SHA256D use the same algorithm as BTC.
If you have a BTC miner, you can choose one of the coins that use the same algorithm to mine. F2Pool supports profit-switching pools as well where the hashrate of miners will be automatically switched to mine the most profitable compatible coin.
Visit the F2Pool popular miners page and query your miner model to see information about the mine-able coins and mining revenue.