Earning your first $100 in cryptocurrency for free is possible through various methods. Here are some strategies:

1. Airdrops: New cryptocurrency projects often distribute free tokens to holders of a particular blockchain, often Ethereum. Websites like Airdrop Alert and CoinMarketCap list upcoming airdrops.

2. Faucets: Cryptocurrency faucets are websites that give away small amounts of cryptocurrency for free in exchange for completing simple tasks or captchas. Examples include Cointiply and FreeBitco.in.

3. Staking Rewards: Some platforms offer staking rewards where you can earn interest on your cryptocurrency holdings by participating in proof-of-stake networks. Look for platforms that offer initial staking bonuses.

4. Referral Programs: Many cryptocurrency exchanges and platforms offer referral programs where you can earn crypto by referring friends. Examples include Coinbase, Binance, and Crypto.com.

5. Play-to-Earn Games: Blockchain-based games like Axie Infinity and Decentraland allow players to earn cryptocurrency and in-game assets that can be sold for profit.

6. Mining with Free Resources: While traditional mining requires significant investment, some platforms like Honeyminer allow you to mine with your existing computer hardware, though returns are typically small.

7. Microtasks: Websites like Bituro and Earn.com pay users in cryptocurrency for completing small tasks such as surveys, watching videos, and more.

8. Content Creation: Platforms like Steemit and Publish0x reward content creators with cryptocurrency based on user engagement and upvotes.

9. Bounties: Participate in bounty programs where you can earn cryptocurrency for promoting projects on social media, creating content, or finding bugs in software.

By exploring these methods, you can start earning cryptocurrency without any initial investment. Always remember to research each opportunity to ensure its legitimacy and potential.