{{nowrap}} prevents wrapping within a single template (i.e. not suitable for relatively complex or lengthy content).
{{nowraplinks}} ... {{nowraplinks end}} prevents wraps inside links while allowing wraps between links and in normal text. Very useful for link lists and easy to use.
{{nowrap begin}} ... {{nowrap end}} prevents wraps in both text and links. For the trickier wrapping cases when you need full control, for instance in very complex link lists.
{{avoid wrap}} prevents wraps unless the space is too narrow to display the text on one line.
{{inline block}} does the same and allows further style customization, but does not automatically add the "avoidwrap" CSS class.
{{spaces}} produces multiple non-breaking spaces (or a single one).
{{wrap}} can be used to provide a (brief) exception within a no-wrapping area.
{{normalwraplink}} allows links to wrap when they otherwise would not.
In particular, to avoid line wrapping when quoting a passage such as a poem or computer code, see Template:Quote § Line breaks – e.g. Template:Blockquote with "poem" tag.