DAG, distributed acyclic graph, is a distributed-ledger technology that links transactions together directly without miners or blocks.
Currently (January 2018) there are three major DAG-based cryptocurrencies: Byteball, IOTA, and Raiblocks.
There is a wiki article comparing Byteball and IOTA.
Here is a table detailing differences among them. See the Cryptocurrency subreddit thread[1] for further discussion.
Comparison
|  | Byteball | IOTA | Raiblocks | 
| Address reuse | Yes | Not after sending | Yes | 
| Chain type | Main chain DAG | PoW DAG | dPoS DAG+Blockchain | 
| Confirmation time (theoretical) | 30 seconds | Instant | Instant | 
| Confirmation time (current) | ~10 minutes? | Minutes to hours to a day?
 | ~10 seconds | 
| Consensus | Mainchain, deterministic
 | Minimal PoW, probabilistic
 | Weighted dPoS voting | 
| Developer ownership | 1%? | 5%? | 4.8%? | 
| Distribution | Free airdrops, 1% premine
 | Public ICO. No premine | Manual mining via captcha | 
| Distribution complete | No | Yes | Yes | 
| Divisibility | 1 GBYTE: 1 billion Bytes | 1 MIOTA: 1 million IOTA | 1 XRB: 1024 raw | 
| Fees | Very small, based on size of data stored | No fees | No fees | 
| Focus | Smart contracts. Storing arbitrary dataValuetransfer
 | Internet of Things (m2m) | Value transfer (h2h) | 
| Inflation | None/Deflationary (minus distribution) | None/Deflationary | None/Deflationary | 
| Offline transactions | Via blackbytes? | Yes | Yes? | 
| Partnerships | A few? | Many | None as of 2014? | 
| Public team | Partially? | Yes | Yes | 
| Privacy | Yes via Blackbytes | Eventually, Test mixer
 | Not on chain | 
| Quantum resistant | Not yet. Via NTRU | Yes | No? | 
| Smart contracts | Yes | Not yet? | No? | 
| Supply (Current) | 645,222 GBYTE | 2,779,530,283 MIOTA | 133,248,290 XRB | 
| Supply (Total) | 1,000,000 GBYTE | 2,779,530,283 MIOTA | 133,248,290 XRB | 
| Transaction limit (theory) | Unlimited? | Unlimited | Unlimited | 
| Transaction limit (current) | 10 TPS | 500 TPS in stress tests | 7k TPS on Testnet? | 
External links
References