Adding missing Input Formats after Minimal Install
If you want to set them up exactly as they were in the default installation profile, you can just copy the code from /profiles/standard/standard.install and run it somewhere (e.g. at /devel/php with the Devel module installed):

// Add text formats.
$filtered_html_format = array(
  'format' =&gt; 'filtered_html',
  'name' =&gt; 'Filtered HTML',
  'weight' =&gt; 0,
  'filters' =&gt; array(
    // URL filter.
    'filter_url' =&gt; array(
      'weight' =&gt; 0,
      'status' =&gt; 1,
    ),
    // HTML filter.
    'filter_html' =&gt; array(
      'weight' =&gt; 1,
      'status' =&gt; 1,
    ),
    // Line break filter.
    'filter_autop' =&gt; array(
      'weight' =&gt; 2,
      'status' =&gt; 1,
    ),
    // HTML corrector filter.
    'filter_htmlcorrector' =&gt; array(
      'weight' =&gt; 10,
      'status' =&gt; 1,
    ),
  ),
);
$filtered_html_format = (object) $filtered_html_format;
filter_format_save($filtered_html_format);

$full_html_format = array(
  'format' =&gt; 'full_html',
  'name' =&gt; 'Full HTML',
  'weight' =&gt; 1,
  'filters' =&gt; array(
    // URL filter.
    'filter_url' =&gt; array(
      'weight' =&gt; 0,
      'status' =&gt; 1,
    ),
    // Line break filter.
    'filter_autop' =&gt; array(
      'weight' =&gt; 1,
      'status' =&gt; 1,
    ),
    // HTML corrector filter.
    'filter_htmlcorrector' =&gt; array(
      'weight' =&gt; 10,
      'status' =&gt; 1,
    ),
  ),
);
$full_html_format = (object) $full_html_format;
filter_format_save($full_html_format);