It's difficult to narrow strictly to ten movies so ill just list everything I gave a 7.5-8/10 or higher instead which comes out to 19 movies currently...
1.Source Code (2011) - 9/10 (this is my #1 time travel-ish themed type of movie)
-.Skyfall (2012) (my #1 James Bond movie)
-.The American (2010) (my #1 hitman/assassin type of movie. also, this is THE lowest rated movie on IMDb, as it's got a 6.3/10 average, that I gave a 9/10 or higher)
4.True Grit (2010) - 8/10 (my #5 Western ever)
5.The Descendants (2011)
-.Edge of Darkness (2010)
7.Django Unchained (2012) - 7.5-8/10
-.Young Adult (2011)
-.The Book of Eli (2010)
-.Mission Impossible: Rogue Nation (2015)
-.Men, Women & Children (2014)
-.Kill the Irishman (2011)
-.Unthinkable (2010)
-.Tron Legacy (2010)
-.London Boulevard (2010)
-.Spectre (2015)
-.Shot Caller (2017)
-.Nebraska (2013)
-.Mission Impossible: Ghost Protocol (2011)
NOTE: some of the movies I listed between 7th-19th I might slightly prefer over others but it was easier just to list them bunch together for now. but to make my best attempt at only selecting four movies from those thirteen movies, ill go with the following four at the moment (keep in mind this is nothing official though as it's quite difficult to narrow things down from 13 to 4 movies) to make a total of ten movies to stay inline with the topic as best as I can... Tron Legacy (2010)/Nebraska (2013)/Young Adult (2011)/London Boulevard (2010). I partially went with Tron Legacy because it's rare to find a quality movie that's not rated PG-13 or R and that's one of them. Nebraska is also a bit more unique so I went with that. I went with Young Adult to as there is not to many movies with a clear female lead that stand out off the top of my head. for my final pick of narrowing it down I was debating between Kill the Irishman/London Boulevard but decided to go with London Boulevard overall as Kill the Irishman is mostly carried by Ray Stevenson.
INFO: 10/10 = Top 8 movies, 9/10 = Top 21 movies, 8/10 = Top 52 movies, 7.5-8/10 = Top 102 movies, 7/10 = Top 188 movies. this is for all movies in general.
here is everything else worth mentioning in the current decade...
20.The Grey (2011-2012) - 7-7.5/10
-.Flight (2012)
-.At Middleton (2013)
-.End of Watch (2012)
-.Robot & Frank (2012)
-.The Artist and the Model (2012-2013)
-.Ex Machina (2015)
27.Machete (2010) - 7/10
-.Fast Five (2011)
-.Drive Angry (2011)
-.Carnage (2011)
-.Killer Joe (2011)
-.Before Midnight (2013)
-.Adore (2013)
-.Spring Breakers (2012-2013)
-.Rush (2013)
-.The Lone Ranger (2013)
-.Locke (2013-2014)
-.The Rover (2014)
-.Edge of Tomorrow (2014)
-.Good Kill (2014-2015)
-.Sicario (2015)
-.Drive (2011)
-.Hostiles (2017-2018)
-.Mission Impossible: Fallout (2018)
45.Some Kind of Beautiful (2014-2015) (i.e. How to Make Love Like an Englishman) - 6.5-7/10
--.The Salvation (2014-2015)
--.The Hateful Eight (2015)
--.Lawless (2012)
--.Nocturnal Animals (2016)
--.John Wick (2014)
NOTE: here is movies a bit shy of My Favorite Movies status which I guess could be referred to as 'honorable mentions' (or what I call 'The Best of the Rest' (which makes the following within my Top 234 movies in general)), IN NO ORDER...
-Annihilation (2018) (I recently bumped this up to a 6-6.5/10 to on my 2nd viewing)
-American Made (2017)
-The Accountant (2016)
-La La Land (2016) (I was surprised this went from a 6/10 to a 6-6.5/10 on a re-watch(my 2nd viewing total) as I generally dislike musical movies as that intro on the car is a nice example of what NOT to do in a movie but thankfully it does not last too long and picks up not to far after that.)
-In a Valley of Violence (2016)
-Straight Outta Compton (2015) (this is close to 6.5-7/10 status)
-Furious 7 (2015)
-Terminator Genisys (2015)
-The Man from U.N.C.L.E. (2015)
-The Age of Adaline (2015) (I just recently viewed this for the first time)
-Enemy (2013-2014)
-Dom Hemingway (2013-2014)
-Venus in Fur (2013-2014)
-Need for Speed (2014)
-Nightcrawler (2014) (this was a 7/10 on my initial viewing, 2nd viewing dropped to a 6/10, and my 3rd viewing recently went up a bit to a 6-6.5/10)
-The Heat (2013) (this is real close to 6.5-7/10 status. easily Melissa McCarthy's best movie)
-Man of Steel (2013) (my #1 super hero movie)
-The World's End (2013)
-This Is the End (2013)
-Byzantium (2012-2013) (from same director as Interview with the Vampire (1994) which is my #1 vampire movie hands down)
-Enough Said (2013)
-Drinking Buddies (2013)
-Fast & Furious 6 (2013)
-Savages (2012) (this recently joined the 6-6.5/10 club)
-Miss Bala (2011)
-In Time (2011)
darksidebeadle 
it's between my 1st-3rd favorite of the decade so we are on the same page with this one
biker1 That makes no sense as if someone re-watches a movie here and there it MUST be more positive than negative at the very least in your overall experience of it.
because movies are ultimately broke down into two categories in my mind which are... movies that are worth re-watching (i.e. Thumbs Up) and those that are not (i.e. Thumbs Down).
p.s. for the record... The Neon Demon was a 6-6.5/10 on my first two viewings but took a hit a moment ago on my 3rd viewing (on Jan 8th 2019) back to a 5/10 as I no longer like it overall.
Yeah, that's one thing Nicolas Winding Refn does well at times is visual style.
as far as 'making the list', of which I am assuming you mean 'Top 10 movies of 2010's', while none of them reach that high for me.