Orbital and other data for the Messier open star clusters,
from Wu et.al. (2009)
extracted by Hartmut Frommert (http://spider.seds.org)

  M    Full  Name             RAJ2000   DEJ2000   Dist     Age  [Fe/H]    Xpos    Ypos    Zpos    Uvel    Vvel   Wvel   Ra    Rp     e     zmax    Tp      Tz   SimbadName                
                               "h:m:s"   "d:m:s"    kpc     Myr   [Sun]    kpc      kpc     kpc    km/s    km/s   km/s   kpc   kpc          kpc     Myr    Myr                            
 
M103   18  NGC 581            01 33 23  +60 39.0   2.194    21.7          -9.352   1.727  -0.069    49.2  203.5   12.6   9.6   8.5   0.06   0.17   254.4   40.0  NGC 581    
 M34   36  NGC 1039           02 42 05  +42 45.7   0.499   177.4  -0.30   -8.387   0.285  -0.134    22.4  207.9   -2.8   8.6   7.4   0.07   0.13   224.0   33.3  NGC 1039                  
 M45   47  Melotte 22         03 47 00  +24 07.0   0.133   135.2  -0.03   -8.119   0.028  -0.053     4.0  197.5   -6.2   8.1   6.6   0.10   0.08   206.9   29.9  Melotte 22                
 M38   74  NGC 1912           05 28 40  +35 50.9   1.400   316.2          -9.387   0.189   0.017    50.2  188.5  -12.1  10.1   6.7   0.20   0.14   237.3   35.7  NGC 1912                  
 M42   81  NGC 1976           05 35 16  -05 23.4   0.414    12.9          -8.342  -0.189  -0.137   -13.6  209.8    0.1   8.4   7.6   0.05   0.13   223.3   33.3  NGC 1976                  
 M43       NGC 1982
 M36   84  NGC 1960           05 36 18  +34 08.4   1.330    25.1          -9.324   0.127   0.025    25.4  201.6   -6.1   9.6   7.7   0.11   0.07   242.8   35.7  NGC 1960                  
 M78       NGC 2078
 M37   88  NGC 2099           05 52 18  +32 33.2   1.383   346.7   0.09   -9.380   0.057   0.075    -0.6  173.0    5.4   9.4   6.0   0.22   0.09   219.3   31.7  NGC 2099                  
 M35   95  NGC 2168           06 08 54  +24 20.0   0.912   177.8  -0.16   -8.905  -0.105   0.035    19.9  211.0    7.6   9.3   7.9   0.08   0.09   240.5   35.1  NGC 2168                  
 M41  118  NGC 2287           06 46 01  -20 45.4   0.710   251.2   0.04   -8.439  -0.543  -0.129    -5.5  211.7  -11.4   8.5   7.8   0.04   0.18   228.8   35.1  NGC 2287                  
 M50  130  NGC 2323           07 02 42  -08 23.0   0.950   100.0          -8.709  -0.631  -0.022    11.4  214.5    5.6   9.3   7.7   0.09   0.07   238.6   35.1  NGC 2323                  
 M47  159  NGC 2422           07 36 35  -14 29.0   0.490    72.6          -8.308  -0.380   0.027   -21.5  202.7   -4.1   8.4   7.1   0.08   0.05   217.3   31.2  NGC 2422                  
 M46  168  NGC 2437           07 41 46  -14 48.6   1.510   251.2   0.06   -8.930  -1.185   0.107   -36.9  197.2  -15.5   9.1   7.5   0.09   0.22   232.7   37.0  NGC 2437                
 M93  171  NGC 2447           07 44 30  -23 51.4   1.037   387.3   0.03   -8.518  -0.898   0.002   -27.9  221.5   -2.4   8.9   8.5   0.02   0.03   242.7   35.1  NGC 2447                  
 M48  192  NGC 2548           08 13 43  -05 45.0   0.770   398.1   0.08   -8.498  -0.551   0.204    -0.4  224.9   10.1   9.2   8.3   0.05   0.24   245.1   40.0  NGC 2548                  
 M44  205  NGC 2632           08 40 24  +19 40.0   0.187   729.5   0.14   -8.142  -0.069   0.100   -32.2  204.9   -2.8   8.6   6.8   0.12   0.10   215.8   31.7  NGC 2632                
 M67  216  NGC 2682           08 51 18  +11 48.0   0.908  2564.5  -0.15   -8.626  -0.450   0.480   -27.6  188.5  -12.9   8.8   6.6   0.14   0.49   217.6   41.7  NGC 2682                  
  M6  364  NGC 6405           17 40 20  -32 15.2   0.487    94.2   0.06   -7.514  -0.029  -0.007     1.2  212.5    5.0   7.5   7.1   0.03   0.05   204.2   29.4  NGC 6405                  
  M7  371  NGC 6475           17 53 51  -34 47.6   0.301   298.5   0.03   -7.701  -0.022  -0.024    -6.1  223.1    3.8   8.0   7.6   0.02   0.05   218.6   31.7  NGC 6475                  
 M23  372  NGC 6494           17 57 04  -18 59.1   0.628   299.9   0.09   -7.382   0.108   0.031     2.4  222.8    1.5   7.6   7.4   0.01   0.03   209.7   29.9  NGC 6494                  
 M20  374  NGC 6514           18 02 42  -22 58.3   0.816    23.3          -7.190   0.101  -0.004     7.7  226.5   -3.6   7.7   7.2   0.04   0.03   208.2   29.9  NGC 6514               
 M21  376  NGC 6531           18 04 13  -22 29.4   1.205    11.7          -6.806   0.161  -0.007    -3.5  214.5  -12.6   6.9   6.5   0.03   0.11   188.2   27.8  NGC 6531                  
  M8a      NGC 6523
  M8  377  NGC 6530           18 04 31  -24 21.5   1.330     7.4          -6.678   0.141  -0.031     4.3  214.8   -2.3   6.7   6.5   0.02   0.04   185.2   26.7  NGC 6530                
<M24  383  Markarian 38       18 15 17  -19 00.0   1.471     7.6          -6.561   0.305  -0.024    10.8  206.1   11.0   6.6   5.9   0.05   0.10   176.8   26.3  Cl Mrk 38              
<M24  387  NGC 6603           18 18 26  -18 24.4   3.600   199.5          -4.491   0.801  -0.082    28.9  237.0   -3.3   5.8   4.5   0.12   0.09   149.4   22.5  NGC 6603                
 M16  389  NGC 6611           18 18 48  -13 48.4   1.800     1.3          -6.278   0.525   0.025    18.6  231.8   -6.1   7.2   6.3   0.06   0.06   189.3   27.4  NGC 6611                  
 M18  390  NGC 6613           18 19 58  -17 06.1   1.296    16.7          -6.744   0.317  -0.023     7.3  214.0    9.0   6.8   6.5   0.02   0.08   186.5   27.4  NGC 6613                
 M17  392  NGC 6618           18 20 47  -16 10.3   1.300     1.0          -6.745   0.339  -0.017   -13.2  213.3   -7.9   7.1   6.1   0.08   0.07   185.9   27.0  NGC 6618                
 M25  398  IC 4725            18 31 47  -19 07.0   0.620    92.3   0.17   -7.399   0.146  -0.048    17.6  206.2    9.8   7.5   6.5   0.07   0.10   197.1   29.0  IC 4725               
 M26  404  NGC 6694           18 45 18  -09 23.0   1.600    85.3          -6.539   0.647  -0.081     7.0  210.6   16.2   6.7   6.0   0.05   0.17   180.2   27.8  NGC 6694                
 M11  406  NGC 6705           18 51 05  -06 16.2   1.877   251.2   0.14   -6.334   0.860  -0.091    55.1  217.6   37.7   7.2   6.1   0.09   0.39   188.8   34.5  NGC 6705               
 M29  445  NGC 6913           20 23 57  +38 30.5   1.148    12.9          -7.740   1.118   0.012    42.2  200.3   10.3   7.9   6.7   0.08   0.10   205.7   29.9  NGC 6913              
 M39  456  NGC 7092           21 31 48  +48 26.0   0.326   278.6          -8.014   0.325  -0.013    40.4  219.1   -6.9   8.9   7.3   0.10   0.07   228.5   32.8  NGC 7092                  
 M52  481  NGC 7654           23 24 48  +61 35.6   1.400   158.5          -8.543   1.290   0.011    24.2  195.3   13.8   8.7   7.0   0.11   0.15   219.5   32.8  NGC 7654                

This includes the starforming nebulae. 
The objects M43, M78, M8a (NGC 6523) are not included in Wu's work, but
orbiting close to physically related other Messier objects, notably M42 and 
M8b (NGC 6530).

Reference:
* Zhen-Yu Wu, Xu Zhou, Yun Ma, and Cui-Hua Du, 2009.
  The orbits of open clusters in the Galaxy. 
  Monthly Notices of the Royal Astronomical Society, Vol. 399, pp. 2146-2164
  (November 2009)
  Preprint: https://arxiv.org/abs/0909.3737
  ADS: https://ui.adsabs.harvard.edu/abs/2009MNRAS.399.2146W/abstract
       https://ui.adsabs.harvard.edu/abs/2011yCat..73992146W/abstract
  Vizier: https://vizier.cds.unistra.fr/viz-bin/VizieR?-source=J/MNRAS/399/2146
       http://simbad.cds.unistra.fr/simbad/sim-ref?bibcode=2021MNRAS.504..356D