Endless mode - Get 100 points in a level to unlock Endless mode for that level. There is no time limit or goal in Endless mode.

Accomplish the indicated achievement to get the corresponding number of Gamerscore points:

Manic Roller (20 points): Hint: Running into walls will destroy your Katamari.
Quick Turner (10 points): Hint: Use Quick Turn to your advantage.
Speedy Roller (10 points): Hint: Zip through the course with Dash.
Responsible Roller (30 points): Hint: Roll through the course without bumping into any objects.
Non-stop Roller (30 points): Hint: Roll through the course without stopping once.
Online Roller (5 points): Play online.
Frequent Online Roller (10 points): Play online 10 times.
Resident Online Roller (40 points): Play online 50 times.

100 Cookies (5 points): Obtain 100 Cookies.
1,000 Cookies (40 points): Obtain 1,000 Cookies.
10 Presents (5 points): Collect 10 Presents.
20 Presents (10 points): Collect 20 Presents.
30 Presents (20 points): Collect 30 Presents.
All Presents (80 points): Download stages and collect all Presents.
10 Cousins (5 points): Find 10 Cousins.
20 Cousins (10 points): Find 20 Cousins.
30 Cousins (20 points): Find 30 Cousins.
40 Cousins (40 points): Find 40 Cousins.

All Cousins (80 points): Download stages and find all Cousins.

Collection 20% (5 points): Roll up 20% of the Collection.
Collection 40% (10 points): Roll up 40% of the Collection.
Collection 60% (20 points): Roll up 60% of the Collection.
Collection 80% (40 points): Roll up 80% of the Collection.

Request x 3 (5 points): Complete 3 Requests.
Request x 6 (5 points): Complete 6 Requests.
Request x 9 (20 points): Complete 9 Requests.

All Requests (60 points): Complete all Requests.
Mini Katamari (5 points): Make a Katamari that's 30cm or more.
Small Katamari (5 points): Make a Katamari that's 1m or more.
Sorta Big Katamari (5 points): Make a Katamari that's 5m or more.
Big Katamari (10 points): Make a Katamari that's 30m or more.
Jumbo Katamari (20 points): Make a Katamari that's 500m or more.
Colossal Katamari (60 points): Make a Katamari that's 10,000km or more.
Astronomic Katamari (90 points): Download stages and make a Katamari over 1,500,000km.

Additionally, there are six secret achievements, one of which are currently unknown:

Katamari Fan (40 points): Completed requests 100 times in Normal mode.
Collection 100% (80 points): Roll up 100% of the Collection.
50 Hours Playtime (40 points): Play 50 Hours.
Katamari Perfectionist (100 points): Completed Normal and Time mode.
? (80 points): Completed Requests 200 times in Normal mode.