MySQL with Innodb provides a good general purpose solution, and will probably keep up with your performance requirements quite easily on not-too-expensive hardware. It can easily handle many thousands of updates per second on a dual quad-core box with decent disks. The built-in asynchronous replication will get you most of the way there for your availability requirements - but you might lose a few seconds' worth of data if the primary fails. Some of this lost data might be recoverable when the primary is repaired, or might be recoverable from your application logs: whether you can tolerate this is dependent on how your system works. A less lossy - but slower - alternative is to use MySQL Innodb with shared disk between Primary and Failover units: in this case, the Failover unit will take over the disk when the Primary fails with no loss of data -- as long as the Primary did not have some kind of disk catastrophe. If shared disk is not available, DRBD can be used to simulate this by synchronously copying disk blocks to the Failover unit as they are written: this might have an impact on performance.
Using Innodb and one of the replication solutions above will get your data copied to your Failover unit, which is a large part of the recovery problem solved, but extra glue is required to reconfigure your system to bring the Failover unit on-line. This is usually performed with a cluster system like RHCS or Pacemaker or Heartbeat (on Linux) or the MS Cluster stuff for Windows. These systems are toolkits, and you are left to get your hands dirty building them into a solution that will fit your environment. However, for all of these systems there is a brief outage period while the system notices that the Primary has failed, and reconfigures the system to use the Failover unit. This might be tens of seconds: trying to reduce this can make your failure detection system too sensitive, and you might find your system being failed over unnecessarily.
Moving up, MySQL NDB is intended to reduce the time to recovery, and to some extent help scale up your database for improved performance. However, MySQL NDB has a quite narrow range of applicability. The system maps a relational database on to a distributed hash table, and so for complex queries involving multiple joins across tables, there is quite a bit of traffic between the MySQL component and the storage components (the NDB nodes) making complex queries run slow. However, queries that fit well run very fast indeed. I have looked at this product a few times, but my existing databases have been too complicated to fit well and would require a lot of redesign to get good performance. However, if you are at the design stage of a new system, NDB would work well if you can bear its constraints in mind as you go. Also, you might find that you need quite a few machines to provide a good NDB solution: a couple of MySQL nodes plus 3 or more NDB nodes - although the MySQL and NDB nodes can co-exist if your performance needs are not too extreme.
Even MySQL NDB cannot cope with total site loss - fire at the data centre, admin error, etc. In this case, you usually need another replication stream running to a DR site. This will normally be done asynchronously so that connectivity blips on the inter-site link does not stall your whole database. This is provided with NDB's Geographic replication option (in the paid-for telco version), but I think MySQL 5.1 and above can provide this natively.
Unfortunately, I know little about Zookeeper and Chubby. Hopefully someone else can pick up these aspects.