Server Monitor (Free)
This simple monitoring app can alert you if a server or a certain component/port of it goes down. This is great if you don't already have a monitoring/alert system put into place or you'd like redundancy. It supports TCP connections as well as SSH tunnels. You add a server hostname or IP address and then you can optionally add specific components or ports to monitor, including SSH over SSH. You can define the polling frequency and toggle sound and/or vibrate alerts. You can set the service to start up automatically during boot or enable manual control.
This is another monitoring app, but designed specifically for HTTP servers. You can customize a request URL and check with simple pings or with customizable conditions: the response code or time and header or content contains using substrings, wildcards, or regular expressions. You can also set the desired User Agent used for all the requests, the connection timeout, and the read timeout. On failures, it can notify, flash, alert, and vibrate your phone and/or send SMS messages to others.
Cellica Database for Android ($39.99 after 10-day trial)
If you work with databases on a Windows server or PC, you can use this app to access and manage them from your Android. Once you install the required software on the server or PC, you'll have encrypted access to edit fields, apply select queries, filters, sorting, or even create databases. Supported databases include: Microsoft Access, Access 2007, Microsoft Excel, Excel 2007, Oracle, SQL Server, DB2, MySQL, PostgreSQL, FoxPro, dBase, R:BASE and any ODBC Compliant Database.
Phoenix MySql Client (Free)
If you only desire a simple connection to MySQL databases, you can use this free app to directly connect. You can then view tables, views, and stored procedures. You can perform SQL queries and execute statements: select, create, insert, etc.